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464465856 = 2632983417
BaseRepresentation
bin11011101011110…
…010111111000000
31012100222022101010
4123223302333000
51422400401411
6114031040520
714336615601
oct3353627700
91170868333
10464465856
112191a7088
1210b670140
13752c318a
1445985da8
152ab997a6
hex1baf2fc0

464465856 has 56 divisors (see below), whose sum is σ = 1271290320. Its totient is φ = 149481472.

The previous prime is 464465851. The next prime is 464465863. The reversal of 464465856 is 658564464.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464465851) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 36141 + ... + 47276.

Almost surely, 2464465856 is an apocalyptic number.

It is an amenable number.

464465856 is an abundant number, since it is smaller than the sum of its proper divisors (806824464).

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

464465856 is a wasteful number, since it uses less digits than its factorization.

464465856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83461 (or 83451 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 48.

The square root of 464465856 is about 21551.4699266663. The cubic root of 464465856 is about 774.4343321414.

It can be divided in two parts, 4644 and 65856, that added together give a triangular number (70500 = T375).

The spelling of 464465856 in words is "four hundred sixty-four million, four hundred sixty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 5568 83417 166834 250251 333668 500502 667336 1001004 1334672 2002008 2419093 2669344 4004016 4838186 5338688 7257279 8008032 9676372 14514558 16016064 19352744 29029116 38705488 58058232 77410976 116116464 154821952 232232928 464465856