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53528904 = 233311131733
BaseRepresentation
bin1100110000110…
…0100101001000
310201201112212000
43030030211020
5102200411104
65151151000
71216662642
oct314144510
9121645760
1053528904
1128241070
1215b15460
13b122710
147175892
154a75639
hex330c948

53528904 has 128 divisors (see below), whose sum is σ = 174787200. Its totient is φ = 14964480.

The previous prime is 53528897. The next prime is 53528921. The reversal of 53528904 is 40982535.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30022 + ... + 31754.

It is an arithmetic number, because the mean of its divisors is an integer number (1365525).

Almost surely, 253528904 is an apocalyptic number.

53528904 is a gapful number since it is divisible by the number (54) 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 53528904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87393600).

53528904 is an abundant number, since it is smaller than the sum of its proper divisors (121258296).

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

53528904 is a wasteful number, since it uses less digits than its factorization.

53528904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 53528904 is about 7316.3449891322. The cubic root of 53528904 is about 376.8739479191.

The spelling of 53528904 in words is "fifty-three million, five hundred twenty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 88 99 104 108 117 132 143 156 198 216 234 264 286 297 312 351 396 429 468 572 594 702 792 858 936 1144 1188 1287 1404 1716 1733 2376 2574 2808 3432 3466 3861 5148 5199 6932 7722 10296 10398 13864 15444 15597 19063 20796 22529 30888 31194 38126 41592 45058 46791 57189 62388 67587 76252 90116 93582 114378 124776 135174 152504 171567 180232 187164 202761 228756 247819 270348 343134 374328 405522 457512 495638 514701 540696 608283 686268 743457 811044 991276 1029402 1216566 1372536 1486914 1622088 1982552 2058804 2230371 2433132 2973828 4117608 4460742 4866264 5947656 6691113 8921484 13382226 17842968 26764452 53528904