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52590912 = 2631137673
BaseRepresentation
bin1100100010011…
…1100101000000
310122221220011120
43020213211000
5101430402122
65115112240
71206005163
oct310474500
9118856146
1052590912
1127760370
1215742680
13ab847aa
146dadada
15493c75c
hex3227940

52590912 has 112 divisors (see below), whose sum is σ = 156130752. Its totient is φ = 15482880.

The previous prime is 52590887. The next prime is 52590919. The reversal of 52590912 is 21909525.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52590919) 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, 77808 + ... + 78480.

Almost surely, 252590912 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 52590912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78065376).

52590912 is an abundant number, since it is smaller than the sum of its proper divisors (103539840).

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

52590912 is a wasteful number, since it uses less digits than its factorization.

52590912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 52590912 is about 7251.9591835586. The cubic root of 52590912 is about 374.6596307124.

The spelling of 52590912 in words is "fifty-two million, five hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 132 148 176 192 222 264 296 352 407 444 528 592 673 704 814 888 1056 1184 1221 1346 1628 1776 2019 2112 2368 2442 2692 3256 3552 4038 4884 5384 6512 7104 7403 8076 9768 10768 13024 14806 16152 19536 21536 22209 24901 26048 29612 32304 39072 43072 44418 49802 59224 64608 74703 78144 88836 99604 118448 129216 149406 177672 199208 236896 273911 298812 355344 398416 473792 547822 597624 710688 796832 821733 1095644 1195248 1421376 1593664 1643466 2191288 2390496 3286932 4382576 4780992 6573864 8765152 13147728 17530304 26295456 52590912