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4890261840 = 2435231515867
BaseRepresentation
bin1001000110111101…
…10111100101010000
3110121210220001002220
410203132313211100
540003401334330
62125131141040
7232120353102
oct44336674520
913553801086
104890261840
11208a475112
12b458a4780
135cc1b8779
14345697572
151d94cb710
hex1237b7950

4890261840 has 160 divisors (see below), whose sum is σ = 15926409216. Its totient is φ = 1238899200.

The previous prime is 4890261809. The next prime is 4890261869. The reversal of 4890261840 is 481620984.

It is a junction number, because it is equal to n+sod(n) for n = 4890261792 and 4890261801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 830587 + ... + 836453.

Almost surely, 24890261840 is an apocalyptic number.

4890261840 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 4890261840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7963204608).

4890261840 is an abundant number, since it is smaller than the sum of its proper divisors (11036147376).

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

4890261840 is a wasteful number, since it uses less digits than its factorization.

4890261840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6057 (or 6051 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 4890261840 is about 69930.4071202220. The cubic root of 4890261840 is about 1697.3733184426.

The spelling of 4890261840 in words is "four billion, eight hundred ninety million, two hundred sixty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 151 184 230 240 276 302 345 368 453 460 552 604 690 755 906 920 1104 1208 1380 1510 1812 1840 2265 2416 2760 3020 3473 3624 4530 5520 5867 6040 6946 7248 9060 10419 11734 12080 13892 17365 17601 18120 20838 23468 27784 29335 34730 35202 36240 41676 46936 52095 55568 58670 69460 70404 83352 88005 93872 104190 117340 134941 138920 140808 166704 176010 208380 234680 269882 277840 281616 352020 404823 416760 469360 539764 674705 704040 809646 833520 885917 1079528 1349410 1408080 1619292 1771834 2024115 2159056 2657751 2698820 3238584 3543668 4048230 4429585 5315502 5397640 6477168 7087336 8096460 8859170 10631004 10795280 13288755 14174672 16192920 17718340 20376091 21262008 26577510 32385840 35436680 40752182 42524016 53155020 61128273 70873360 81504364 101880455 106310040 122256546 163008728 203760910 212620080 244513092 305641365 326017456 407521820 489026184 611282730 815043640 978052368 1222565460 1630087280 2445130920 4890261840