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52498560 = 273537739
BaseRepresentation
bin1100100001000…
…1000010000000
310122210012111010
43020101002000
5101414423220
65113120520
71205142012
oct310210200
9118705433
1052498560
11276a7a44
12156b9140
13ab5174a
146d881b2
1549201e0
hex3211080

52498560 has 128 divisors (see below), whose sum is σ = 172094400. Its totient is φ = 13602816.

The previous prime is 52498559. The next prime is 52498561. The reversal of 52498560 is 6589425.

It is an interprime number because it is at equal distance from previous prime (52498559) and next prime (52498561).

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (52498561) 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, 70671 + ... + 71409.

Almost surely, 252498560 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 52498560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86047200).

52498560 is an abundant number, since it is smaller than the sum of its proper divisors (119595840).

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

52498560 is a wasteful number, since it uses less digits than its factorization.

52498560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 52498560 is about 7245.5890029728. The cubic root of 52498560 is about 374.4401958451.

The spelling of 52498560 in words is "fifty-two million, four hundred ninety-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 296 320 370 384 444 480 555 592 640 739 740 888 960 1110 1184 1478 1480 1776 1920 2217 2220 2368 2956 2960 3552 3695 4434 4440 4736 5912 5920 7104 7390 8868 8880 11085 11824 11840 14208 14780 17736 17760 22170 23648 23680 27343 29560 35472 35520 44340 47296 54686 59120 70944 71040 82029 88680 94592 109372 118240 136715 141888 164058 177360 218744 236480 273430 283776 328116 354720 410145 437488 472960 546860 656232 709440 820290 874976 1093720 1312464 1418880 1640580 1749952 2187440 2624928 3281160 3499904 4374880 5249856 6562320 8749760 10499712 13124640 17499520 26249280 52498560