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52724958 = 231113229163
BaseRepresentation
bin1100100100100…
…0010011011110
310200012201001020
43021020103132
5101444144313
65122025010
71210104036
oct311102336
9120181036
1052724958
1127842050
12157a8166
13ac00800
1470068c6
154967323
hex32484de

52724958 has 96 divisors (see below), whose sum is σ = 129651840. Its totient is φ = 14152320.

The previous prime is 52724953. The next prime is 52725059. The reversal of 52724958 is 85942725.

It is a super-2 number, since 2×527249582 = 5559842392203528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52724951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323385 + ... + 323547.

It is an arithmetic number, because the mean of its divisors is an integer number (1350540).

Almost surely, 252724958 is an apocalyptic number.

52724958 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 52724958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64825920).

52724958 is an abundant number, since it is smaller than the sum of its proper divisors (76926882).

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

52724958 is a wasteful number, since it uses less digits than its factorization.

52724958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 221 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 52724958 is about 7261.1953561380. The cubic root of 52724958 is about 374.9776768934.

The spelling of 52724958 in words is "fifty-two million, seven hundred twenty-four thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 11 13 22 26 29 33 39 58 66 78 87 143 163 169 174 286 319 326 338 377 429 489 507 638 754 858 957 978 1014 1131 1793 1859 1914 2119 2262 3586 3718 4147 4238 4727 4901 5379 5577 6357 8294 9454 9802 10758 11154 12441 12714 14181 14703 23309 24882 27547 28362 29406 46618 51997 53911 55094 61451 69927 82641 103994 107822 122902 139854 155991 161733 165282 184353 303017 311982 323466 368706 606034 675961 798863 909051 1351922 1597726 1818102 2027883 2396589 4055766 4793178 8787493 17574986 26362479 52724958