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4725770040 = 233456123911
BaseRepresentation
bin1000110011010110…
…11000011100111000
3110012100100222210000
410121223120130320
534134244120130
62100533353000
7225052245135
oct43153303470
913170328700
104725770040
112005634a82
12aba798760
135a40b4644
1432b8b958c
151c9d38260
hex119ad8738

4725770040 has 160 divisors (see below), whose sum is σ = 16144904160. Its totient is φ = 1239494400.

The previous prime is 4725770029. The next prime is 4725770051. The reversal of 4725770040 is 400775274.

It is a happy number.

4725770040 is a `hidden beast` number, since 47 + 2 + 577 + 0 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4725770029) and next prime (4725770051).

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 = 4725769977 and 4725770004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185685 + ... + 209595.

It is an arithmetic number, because the mean of its divisors is an integer number (100905651).

Almost surely, 24725770040 is an apocalyptic number.

4725770040 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 4725770040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8072452080).

4725770040 is an abundant number, since it is smaller than the sum of its proper divisors (11419134120).

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

4725770040 is a wasteful number, since it uses less digits than its factorization.

4725770040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23995 (or 23982 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 4725770040 is about 68744.2364129532. The cubic root of 4725770040 is about 1678.1245653380.

The spelling of 4725770040 in words is "four billion, seven hundred twenty-five million, seven hundred seventy thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 61 72 81 90 108 120 122 135 162 180 183 216 244 270 305 324 360 366 405 488 540 549 610 648 732 810 915 1080 1098 1220 1464 1620 1647 1830 2196 2440 2745 3240 3294 3660 4392 4941 5490 6588 7320 8235 9882 10980 13176 16470 19764 21960 23911 24705 32940 39528 47822 49410 65880 71733 95644 98820 119555 143466 191288 197640 215199 239110 286932 358665 430398 478220 573864 645597 717330 860796 956440 1075995 1291194 1434660 1458571 1721592 1936791 2151990 2582388 2869320 2917142 3227985 3873582 4303980 4375713 5164776 5834284 6455970 7292855 7747164 8607960 8751426 9683955 11668568 12911940 13127139 14585710 15494328 17502852 19367910 21878565 25823880 26254278 29171420 35005704 38735820 39381417 43757130 52508556 58342840 65635695 77471640 78762834 87514260 105017112 118144251 131271390 157525668 175028520 196907085 236288502 262542780 315051336 393814170 472577004 525085560 590721255 787628340 945154008 1181442510 1575256680 2362885020 4725770040