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52738504 = 23721379131
BaseRepresentation
bin1100100100101…
…1100111001000
310200020101121221
43021023213020
5102000113004
65122211424
71210161400
oct311134710
9120211557
1052738504
1127851245
12157b3b74
13ac06a20
14700b800
15496b354
hex324b9c8

52738504 has 96 divisors (see below), whose sum is σ = 126403200. Its totient is φ = 20442240.

The previous prime is 52738489. The next prime is 52738529. The reversal of 52738504 is 40583725.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 52738504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402519 + ... + 402649.

It is an arithmetic number, because the mean of its divisors is an integer number (1316700).

Almost surely, 252738504 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 52738504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63201600).

52738504 is an abundant number, since it is smaller than the sum of its proper divisors (73664696).

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

52738504 is a wasteful number, since it uses less digits than its factorization.

52738504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 52738504 is about 7262.1280627651. The cubic root of 52738504 is about 375.0097870038.

The spelling of 52738504 in words is "fifty-two million, seven hundred thirty-eight thousand, five hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 79 91 98 104 131 158 182 196 262 316 364 392 524 553 632 637 728 917 1027 1048 1106 1274 1703 1834 2054 2212 2548 3406 3668 3871 4108 4424 5096 6419 6812 7189 7336 7742 8216 10349 11921 12838 13624 14378 15484 20698 23842 25676 28756 30968 41396 47684 50323 51352 57512 72443 82792 83447 95368 100646 134537 144886 166894 201292 269074 289772 333788 402584 507101 538148 579544 667576 941759 1014202 1076296 1883518 2028404 3767036 4056808 6592313 7534072 13184626 26369252 52738504