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264738464 = 25232231613
BaseRepresentation
bin11111100011110…
…01011010100000
3200110011002220022
433301321122200
51020233112324
642134133012
76363145154
oct1761713240
9613132808
10264738464
1112648aa21
12747b1168
1342b02ca3
1427235064
151839605e
hexfc796a0

264738464 has 48 divisors (see below), whose sum is σ = 546642432. Its totient is φ = 125968128.

The previous prime is 264738443. The next prime is 264738479. The reversal of 264738464 is 464837462.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163322 + ... + 164934.

It is an arithmetic number, because the mean of its divisors is an integer number (11388384).

Almost surely, 2264738464 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 264738464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273321216).

264738464 is an abundant number, since it is smaller than the sum of its proper divisors (281903968).

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

264738464 is a wasteful number, since it uses less digits than its factorization.

264738464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1861 counting only the distinct ones).

The product of its digits is 774144, while the sum is 44.

The square root of 264738464 is about 16270.7855987349. The cubic root of 264738464 is about 642.1044527465.

The spelling of 264738464 in words is "two hundred sixty-four million, seven hundred thirty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 223 368 446 736 892 1613 1784 3226 3568 5129 6452 7136 10258 12904 20516 25808 37099 41032 51616 74198 82064 148396 164128 296792 359699 593584 719398 1187168 1438796 2877592 5755184 8273077 11510368 16546154 33092308 66184616 132369232 264738464