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53690688 = 263410357
BaseRepresentation
bin1100110011010…
…0000101000000
310202000202210000
43030310011000
5102221100223
65154440000
71221235422
oct314640500
9122022700
1053690688
1128341677
1215b93000
13b17b24c
1471b8812
154aa8543
hex3334140

53690688 has 70 divisors (see below), whose sum is σ = 159171386. Its totient is φ = 17895168.

The previous prime is 53690627. The next prime is 53690753. The reversal of 53690688 is 88609635.

It can be written as a sum of positive squares in only one way, i.e., 45805824 + 7884864 = 6768^2 + 2808^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6 + ... + 10362.

Almost surely, 253690688 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 53690688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79585693).

53690688 is an abundant number, since it is smaller than the sum of its proper divisors (105480698).

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

53690688 is a wasteful number, since it uses less digits than its factorization.

53690688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10381 (or 10362 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 53690688 is about 7327.3929879596. The cubic root of 53690688 is about 377.2532498564.

The spelling of 53690688 in words is "fifty-three million, six hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 10357 20714 31071 41428 62142 82856 93213 124284 165712 186426 248568 279639 331424 372852 497136 559278 662848 745704 838917 994272 1118556 1491408 1677834 1988544 2237112 2982816 3355668 4474224 5965632 6711336 8948448 13422672 17896896 26845344 53690688