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53495104 = 2613113569
BaseRepresentation
bin1100110000010…
…0010101000000
310201122211111011
43030010111000
5102143320404
65150330304
71216462255
oct314042500
9121584434
1053495104
1128218733
1215ab9994
13b110210
14716742c
154a6a604
hex3304540

53495104 has 56 divisors (see below), whose sum is σ = 115534440. Its totient is φ = 24428544.

The previous prime is 53495063. The next prime is 53495137. The reversal of 53495104 is 40159435.

It can be written as a sum of positive squares in 4 ways, for example, as 5053504 + 48441600 = 2248^2 + 6960^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 93732 + ... + 94300.

It is an arithmetic number, because the mean of its divisors is an integer number (2063115).

Almost surely, 253495104 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 53495104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57767220).

53495104 is an abundant number, since it is smaller than the sum of its proper divisors (62039336).

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

53495104 is a wasteful number, since it uses less digits than its factorization.

53495104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 53495104 is about 7314.0347278366. The cubic root of 53495104 is about 376.7946074721.

The spelling of 53495104 in words is "fifty-three million, four hundred ninety-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 113 208 226 416 452 569 832 904 1138 1469 1808 2276 2938 3616 4552 5876 7232 7397 9104 11752 14794 18208 23504 29588 36416 47008 59176 64297 94016 118352 128594 236704 257188 473408 514376 835861 1028752 1671722 2057504 3343444 4115008 6686888 13373776 26747552 53495104