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464876964 = 223212913249
BaseRepresentation
bin11011101101010…
…111010110100100
31012101202012022100
4123231113112210
51423002030324
6114043532100
714343250266
oct3355272644
91171665270
10464876964
11219457a42
1210b82a030
1375408336
1445a51b36
152ac2b4c9
hex1bb575a4

464876964 has 18 divisors (see below), whose sum is σ = 1175105750. Its totient is φ = 154958976.

The previous prime is 464876957. The next prime is 464876969. The reversal of 464876964 is 469678464.

464876964 is a `hidden beast` number, since 46 + 487 + 69 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 464747364 + 129600 = 21558^2 + 360^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×4648769642 = 432221183315714592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 464876964.

It is not an unprimeable number, because it can be changed into a prime (464876969) 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 5 ways as a sum of consecutive naturals, for example, 6456589 + ... + 6456660.

Almost surely, 2464876964 is an apocalyptic number.

It is an amenable number.

464876964 is an abundant number, since it is smaller than the sum of its proper divisors (710228786).

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

464876964 is a wasteful number, since it uses less digits than its factorization.

464876964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12913259 (or 12913254 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 464876964 is about 21561.0056351739. The cubic root of 464876964 is about 774.6627538562.

The spelling of 464876964 in words is "four hundred sixty-four million, eight hundred seventy-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 12913249 25826498 38739747 51652996 77479494 116219241 154958988 232438482 464876964