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52683136 = 2711173171
BaseRepresentation
bin1100100011111…
…0000110000000
310200010120200021
43020332012000
5101441330021
65121103224
71206541102
oct310760600
9120116607
1052683136
1127813690
1215787b14
13abb776c
146dd5572
154959c41
hex323e180

52683136 has 128 divisors (see below), whose sum is σ = 126904320. Its totient is φ = 21504000.

The previous prime is 52683131. The next prime is 52683139. The reversal of 52683136 is 63138625.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (34).

Its product of digits (25920) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52683131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 741981 + ... + 742051.

It is an arithmetic number, because the mean of its divisors is an integer number (991440).

Almost surely, 252683136 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 52683136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63452160).

52683136 is an abundant number, since it is smaller than the sum of its proper divisors (74221184).

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

52683136 is a wasteful number, since it uses less digits than its factorization.

52683136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its digits is 25920, while the sum is 34.

The square root of 52683136 is about 7258.3149559660. The cubic root of 52683136 is about 374.8785052342.

The spelling of 52683136 in words is "fifty-two million, six hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 17 22 31 32 34 44 62 64 68 71 88 124 128 136 142 176 187 248 272 284 341 352 374 496 527 544 568 682 704 748 781 992 1054 1088 1136 1207 1364 1408 1496 1562 1984 2108 2176 2201 2272 2414 2728 2992 3124 3968 4216 4402 4544 4828 5456 5797 5984 6248 8432 8804 9088 9656 10912 11594 11968 12496 13277 16864 17608 19312 21824 23188 23936 24211 24992 26554 33728 35216 37417 38624 43648 46376 48422 49984 53108 67456 70432 74834 77248 92752 96844 99968 106216 140864 149668 154496 185504 193688 212432 281728 299336 371008 387376 411587 424864 598672 742016 774752 823174 849728 1197344 1549504 1646348 1699456 2394688 3099008 3292696 4789376 6585392 13170784 26341568 52683136