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4092906240 = 28335118429
BaseRepresentation
bin1111001111110100…
…1100101100000000
3101120020112011212000
43303331030230000
531340240444430
61514045104000
7203266062153
oct36375145400
911506464760
104092906240
111810380045
12962858000
13502c50417
142ab819c9a
1518e4c7e60
hexf3f4cb00

4092906240 has 144 divisors (see below), whose sum is σ = 14524255200. Its totient is φ = 1091432448.

The previous prime is 4092906239. The next prime is 4092906241. The reversal of 4092906240 is 426092904.

4092906240 is a `hidden beast` number, since 4 + 0 + 9 + 29 + 0 + 624 + 0 = 666.

4092906240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4092906239) and next prime (4092906241).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4092906195 and 4092906204.

It is not an unprimeable number, because it can be changed into a prime (4092906241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24655 + ... + 93774.

Almost surely, 24092906240 is an apocalyptic number.

4092906240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4092906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7262127600).

4092906240 is an abundant number, since it is smaller than the sum of its proper divisors (10431348960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4092906240 is a wasteful number, since it uses less digits than its factorization.

4092906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118459 (or 118439 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4092906240 is about 63975.8254342998. The cubic root of 4092906240 is about 1599.5970652024.

The spelling of 4092906240 in words is "four billion, ninety-two million, nine hundred six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 34560 118429 236858 355287 473716 592145 710574 947432 1065861 1184290 1421148 1776435 1894864 2131722 2368580 2842296 3197583 3552870 3789728 4263444 4737160 5329305 5684592 6395166 7105740 7579456 8526888 9474320 10658610 11369184 12790332 14211480 15158912 15987915 17053776 18948640 21317220 22738368 25580664 28422960 30317824 31975830 34107552 37897280 42634440 45476736 51161328 56845920 63951660 68215104 75794560 85268880 90953472 102322656 113691840 127903320 136430208 151589120 170537760 204645312 227383680 255806640 272860416 341075520 409290624 454767360 511613280 682151040 818581248 1023226560 1364302080 2046453120 4092906240