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465604656 = 24311979091
BaseRepresentation
bin11011110000001…
…001000000110000
31012110010011111220
4123300021000300
51423143322111
6114111305040
714352400656
oct3360110060
91173104456
10465604656
11219904740
1210bb1b180
137560161a
1445ba0dd6
152ad21e06
hex1bc09030

465604656 has 80 divisors (see below), whose sum is σ = 1325831808. Its totient is φ = 139622400.

The previous prime is 465604613. The next prime is 465604669. The reversal of 465604656 is 656406564.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46671 + ... + 55761.

Almost surely, 2465604656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465604656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662915904).

465604656 is an abundant number, since it is smaller than the sum of its proper divisors (860227152).

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

465604656 is a wasteful number, since it uses less digits than its factorization.

465604656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9210 (or 9204 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The square root of 465604656 is about 21577.8742233798. The cubic root of 465604656 is about 775.0667474943.

The spelling of 465604656 in words is "four hundred sixty-five million, six hundred four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 97 132 176 194 264 291 388 528 582 776 1067 1164 1552 2134 2328 3201 4268 4656 6402 8536 9091 12804 17072 18182 25608 27273 36364 51216 54546 72728 100001 109092 145456 200002 218184 300003 400004 436368 600006 800008 881827 1200012 1600016 1763654 2400024 2645481 3527308 4800048 5290962 7054616 9700097 10581924 14109232 19400194 21163848 29100291 38800388 42327696 58200582 77600776 116401164 155201552 232802328 465604656