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468464104 = 23173793097
BaseRepresentation
bin11011111011000…
…011000111101000
31012122111102221101
4123323003013220
51424411322404
6114252451144
714415610363
oct3373030750
91178442841
10468464104
11220488019
12110a79ab4
1376092cc4
14463070da
152b1d92a4
hex1bec31e8

468464104 has 32 divisors (see below), whose sum is σ = 955185480. Its totient is φ = 214493184.

The previous prime is 468464093. The next prime is 468464107. The reversal of 468464104 is 401464864.

It can be written as a sum of positive squares in 4 ways, for example, as 462164004 + 6300100 = 21498^2 + 2510^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (468464107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41517 + ... + 51580.

Almost surely, 2468464104 is an apocalyptic number.

It is an amenable number.

468464104 is an abundant number, since it is smaller than the sum of its proper divisors (486721376).

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

468464104 is a wasteful number, since it uses less digits than its factorization.

468464104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93157 (or 93153 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 468464104 is about 21644.0316022686. The cubic root of 468464104 is about 776.6501663090.

The spelling of 468464104 in words is "four hundred sixty-eight million, four hundred sixty-four thousand, one hundred four".

Divisors: 1 2 4 8 17 34 37 68 74 136 148 296 629 1258 2516 5032 93097 186194 372388 744776 1582649 3165298 3444589 6330596 6889178 12661192 13778356 27556712 58558013 117116026 234232052 468464104