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53395668 = 22321977529
BaseRepresentation
bin1100101110110…
…0000011010100
310201110210002100
43023230003110
5102132130133
65144242100
71215566334
oct313540324
9121423070
1053395668
112815aa57
1215a70330
13b0a6b91
14713d0c4
154a4ae13
hex32ec0d4

53395668 has 36 divisors (see below), whose sum is σ = 135675540. Its totient is φ = 17705856.

The previous prime is 53395607. The next prime is 53395669. The reversal of 53395668 is 86659335.

53395668 is a `hidden beast` number, since 53 + 39 + 566 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38787984 + 14607684 = 6228^2 + 3822^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×533956682 = 5702194722332448, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53395669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3328 + ... + 10856.

It is an arithmetic number, because the mean of its divisors is an integer number (3768765).

Almost surely, 253395668 is an apocalyptic number.

It is an amenable number.

53395668 is an abundant number, since it is smaller than the sum of its proper divisors (82279872).

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

53395668 is a wasteful number, since it uses less digits than its factorization.

53395668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7736 (or 7731 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 53395668 is about 7307.2339499978. The cubic root of 53395668 is about 376.5610023746.

The spelling of 53395668 in words is "fifty-three million, three hundred ninety-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 197 394 591 788 1182 1773 2364 3546 7092 7529 15058 22587 30116 45174 67761 90348 135522 271044 1483213 2966426 4449639 5932852 8899278 13348917 17798556 26697834 53395668