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264382164 = 223317143999
BaseRepresentation
bin11111100001000…
…10011011010100
3200102111000011000
433300202123110
51020140212124
642122343300
76360132324
oct1760423324
9612430130
10264382164
11126267262
127465ab30
1342a09a67
1427181284
15183256c9
hexfc226d4

264382164 has 48 divisors (see below), whose sum is σ = 725760000. Its totient is φ = 82942848.

The previous prime is 264382159. The next prime is 264382177. The reversal of 264382164 is 461283462.

264382164 is a `hidden beast` number, since 2 + 6 + 438 + 216 + 4 = 666.

264382164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 70164 + ... + 73835.

It is an arithmetic number, because the mean of its divisors is an integer number (15120000).

Almost surely, 2264382164 is an apocalyptic number.

It is an amenable number.

264382164 is an abundant number, since it is smaller than the sum of its proper divisors (461377836).

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

264382164 is a wasteful number, since it uses less digits than its factorization.

264382164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144029 (or 144021 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 264382164 is about 16259.8328404692. The cubic root of 264382164 is about 641.8162632561.

The spelling of 264382164 in words is "two hundred sixty-four million, three hundred eighty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 143999 287998 431997 575996 863994 1295991 1727988 2447983 2591982 3887973 4895966 5183964 7343949 7775946 9791932 14687898 15551892 22031847 29375796 44063694 66095541 88127388 132191082 264382164