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264163136 = 2617242797
BaseRepresentation
bin11111011111011…
…00111101000000
3200102001212200212
433233230331000
51020111210021
642113533252
76355230626
oct1757547500
9612055625
10264163136
11126127746
1274574228
1342961163
1427125516
15182d085b
hexfbecf40

264163136 has 28 divisors (see below), whose sum is σ = 555036228. Its totient is φ = 124311552.

The previous prime is 264163127. The next prime is 264163139. The reversal of 264163136 is 631361462.

It can be written as a sum of positive squares in 2 ways, for example, as 178489600 + 85673536 = 13360^2 + 9256^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264163139) 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 3 ways as a sum of consecutive naturals, for example, 120311 + ... + 122486.

Almost surely, 2264163136 is an apocalyptic number.

It is an amenable number.

264163136 is an abundant number, since it is smaller than the sum of its proper divisors (290873092).

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

264163136 is a wasteful number, since it uses less digits than its factorization.

264163136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242826 (or 242816 counting only the distinct ones).

The product of its digits is 15552, while the sum is 32.

The square root of 264163136 is about 16253.0961973404. The cubic root of 264163136 is about 641.6389762455.

The spelling of 264163136 in words is "two hundred sixty-four million, one hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 242797 485594 971188 1942376 3884752 4127549 7769504 8255098 15539008 16510196 33020392 66040784 132081568 264163136