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53264088 = 2333832971
BaseRepresentation
bin1100101100101…
…1111011011000
310201020002121000
43023023323120
5102113422323
65141345000
71214510613
oct313137330
9121202530
1053264088
1128080109
1215a08160
13b05c017
14710717a
154a21e43
hex32cbed8

53264088 has 64 divisors (see below), whose sum is σ = 149788800. Its totient is φ = 17534880.

The previous prime is 53264051. The next prime is 53264089. The reversal of 53264088 is 88046235.

53264088 is a `hidden beast` number, since 5 + 3 + 2 + 640 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53264089) 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, 16443 + ... + 19413.

It is an arithmetic number, because the mean of its divisors is an integer number (2340450).

Almost surely, 253264088 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 53264088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74894400).

53264088 is an abundant number, since it is smaller than the sum of its proper divisors (96524712).

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

53264088 is a wasteful number, since it uses less digits than its factorization.

53264088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 53264088 is about 7298.2249896807. The cubic root of 53264088 is about 376.2514351148.

It can be divided in two parts, 532 and 64088, that added together give a triangular number (64620 = T359).

The spelling of 53264088 in words is "fifty-three million, two hundred sixty-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 83 108 166 216 249 332 498 664 747 996 1494 1992 2241 2971 2988 4482 5942 5976 8913 8964 11884 17826 17928 23768 26739 35652 53478 71304 80217 106956 160434 213912 246593 320868 493186 641736 739779 986372 1479558 1972744 2219337 2959116 4438674 5918232 6658011 8877348 13316022 17754696 26632044 53264088