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53679136 = 257435573
BaseRepresentation
bin1100110011000…
…1010000100000
310202000011221011
43030301100200
5102220213021
65154310304
71221156640
oct314612040
9122004834
1053679136
1128333a25
1215b88394
13b175c04
1471b4520
154aa4de1
hex3331420

53679136 has 48 divisors (see below), whose sum is σ = 123609024. Its totient is φ = 22466304.

The previous prime is 53679133. The next prime is 53679167. The reversal of 53679136 is 63197635.

It is not an unprimeable number, because it can be changed into a prime (53679133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6846 + ... + 12418.

It is an arithmetic number, because the mean of its divisors is an integer number (2575188).

Almost surely, 253679136 is an apocalyptic number.

53679136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53679136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61804512).

53679136 is an abundant number, since it is smaller than the sum of its proper divisors (69929888).

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

53679136 is a wasteful number, since it uses less digits than its factorization.

53679136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5633 (or 5625 counting only the distinct ones).

The product of its digits is 102060, while the sum is 40.

The square root of 53679136 is about 7326.6046706507. The cubic root of 53679136 is about 377.2261915197.

The spelling of 53679136 in words is "fifty-three million, six hundred seventy-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1204 1376 2408 4816 5573 9632 11146 22292 39011 44584 78022 89168 156044 178336 239639 312088 479278 624176 958556 1248352 1677473 1917112 3354946 3834224 6709892 7668448 13419784 26839568 53679136