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481905864 = 2332115910313
BaseRepresentation
bin11100101110010…
…100110011001000
31020120210100120100
4130232110303020
51441331441424
6115452525400
714641063236
oct3456246310
91216710510
10481905864
11228029010
12115480860
1378abb2cb
1448005956
152c491dc9
hex1cb94cc8

481905864 has 96 divisors (see below), whose sum is σ = 1448085600. Its totient is φ = 143543040.

The previous prime is 481905833. The next prime is 481905887. The reversal of 481905864 is 468509184.

481905864 is a `hidden beast` number, since 481 + 90 + 5 + 86 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41572 + ... + 51884.

It is an arithmetic number, because the mean of its divisors is an integer number (15084225).

Almost surely, 2481905864 is an apocalyptic number.

481905864 is a gapful number since it is divisible by the number (44) 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 481905864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724042800).

481905864 is an abundant number, since it is smaller than the sum of its proper divisors (966179736).

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

481905864 is a wasteful number, since it uses less digits than its factorization.

481905864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10395 (or 10388 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 481905864 is about 21952.3544067601. The cubic root of 481905864 is about 784.0084382335.

The spelling of 481905864 in words is "four hundred eighty-one million, nine hundred five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 59 66 72 88 99 118 132 177 198 236 264 354 396 472 531 649 708 792 1062 1298 1416 1947 2124 2596 3894 4248 5192 5841 7788 10313 11682 15576 20626 23364 30939 41252 46728 61878 82504 92817 113443 123756 185634 226886 247512 340329 371268 453772 608467 680658 742536 907544 1020987 1216934 1361316 1825401 2041974 2433868 2722632 3650802 4083948 4867736 5476203 6693137 7301604 8167896 10952406 13386274 14603208 20079411 21904812 26772548 40158822 43809624 53545096 60238233 80317644 120476466 160635288 240952932 481905864