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52153164 = 22327349593
BaseRepresentation
bin1100011011110…
…0101101001100
310122010122200200
43012330231030
5101322400124
65101453500
71202203020
oct306745514
9118118620
1052153164
1127491498
1215571290
13aa6047b
146cd8380
1548a2bc9
hex31bcb4c

52153164 has 72 divisors (see below), whose sum is σ = 151351200. Its totient is φ = 14833152.

The previous prime is 52153141. The next prime is 52153177. The reversal of 52153164 is 46135125.

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, 87652 + ... + 88244.

It is an arithmetic number, because the mean of its divisors is an integer number (2102100).

Almost surely, 252153164 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 52153164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75675600).

52153164 is an abundant number, since it is smaller than the sum of its proper divisors (99198036).

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

52153164 is a wasteful number, since it uses less digits than its factorization.

52153164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 954 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 52153164 is about 7221.7147548210. The cubic root of 52153164 is about 373.6172220677.

Adding to 52153164 its reverse (46135125), we get a palindrome (98288289).

The spelling of 52153164 in words is "fifty-two million, one hundred fifty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 349 593 698 1047 1186 1396 1779 2094 2372 2443 3141 3558 4151 4188 4886 5337 6282 7116 7329 8302 9772 10674 12453 12564 14658 16604 21348 21987 24906 29316 37359 43974 49812 74718 87948 149436 206957 413914 620871 827828 1241742 1448699 1862613 2483484 2897398 3725226 4346097 5794796 7450452 8692194 13038291 17384388 26076582 52153164