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53664264 = 2332745337
BaseRepresentation
bin1100110010110…
…1101000001000
310201222102112100
43030231220020
5102214224024
65154113400
71221065403
oct314555010
9121872470
1053664264
1128323835
1215b7b860
13b16c204
1471acd3a
154aa07c9
hex332da08

53664264 has 24 divisors (see below), whose sum is σ = 145340910. Its totient is φ = 17888064.

The previous prime is 53664251. The next prime is 53664269. The reversal of 53664264 is 46246635.

53664264 is a `hidden beast` number, since 5 + 3 + 6 + 642 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44116164 + 9548100 = 6642^2 + 3090^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (53664269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 372597 + ... + 372740.

Almost surely, 253664264 is an apocalyptic number.

It is an amenable number.

53664264 is an abundant number, since it is smaller than the sum of its proper divisors (91676646).

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

53664264 is a wasteful number, since it uses less digits than its factorization.

53664264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745349 (or 745342 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 53664264 is about 7325.5896690983. The cubic root of 53664264 is about 377.1913510055.

The spelling of 53664264 in words is "fifty-three million, six hundred sixty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 745337 1490674 2236011 2981348 4472022 5962696 6708033 8944044 13416066 17888088 26832132 53664264