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52493672 = 23711261127
BaseRepresentation
bin1100100000111…
…1110101101000
310122202221210002
43020033311220
5101414244142
65113042132
71205121530
oct310176550
9118687702
1052493672
11276a4300
12156b6348
13ab4c45a
146d864c0
15491da32
hex320fd68

52493672 has 96 divisors (see below), whose sum is σ = 126658560. Its totient is φ = 19958400.

The previous prime is 52493593. The next prime is 52493677. The reversal of 52493672 is 27639425.

52493672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (52493677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413273 + ... + 413399.

It is an arithmetic number, because the mean of its divisors is an integer number (1319360).

Almost surely, 252493672 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 52493672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63329280).

52493672 is an abundant number, since it is smaller than the sum of its proper divisors (74164888).

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

52493672 is a wasteful number, since it uses less digits than its factorization.

52493672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its digits is 90720, while the sum is 38.

The square root of 52493672 is about 7245.2516864495. The cubic root of 52493672 is about 374.4285744439.

The spelling of 52493672 in words is "fifty-two million, four hundred ninety-three thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 61 77 88 121 122 127 154 242 244 254 308 427 484 488 508 616 671 847 854 889 968 1016 1342 1397 1694 1708 1778 2684 2794 3388 3416 3556 4697 5368 5588 6776 7112 7381 7747 9394 9779 11176 14762 15367 15494 18788 19558 29524 30734 30988 37576 39116 51667 54229 59048 61468 61976 78232 85217 103334 107569 108458 122936 170434 206668 215138 216916 340868 413336 430276 433832 596519 681736 860552 937387 1193038 1874774 2386076 3749548 4772152 6561709 7499096 13123418 26246836 52493672