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53142888 = 23341531019
BaseRepresentation
bin1100101010111…
…0010101101000
310200222221100010
43022232111220
5102101033023
65135011520
71213464351
oct312562550
9120887303
1053142888
1127aa8047
1215969ba0
13b018ac6
1470b4d28
1549eb093
hex32ae568

53142888 has 64 divisors (see below), whose sum is σ = 138801600. Its totient is φ = 16939520.

The previous prime is 53142863. The next prime is 53142899. The reversal of 53142888 is 88824135.

53142888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 51643 + ... + 52661.

It is an arithmetic number, because the mean of its divisors is an integer number (2168775).

Almost surely, 253142888 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 53142888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69400800).

53142888 is an abundant number, since it is smaller than the sum of its proper divisors (85658712).

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

53142888 is a wasteful number, since it uses less digits than its factorization.

53142888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1118 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 53142888 is about 7289.9168719540. The cubic root of 53142888 is about 375.9658373971.

The spelling of 53142888 in words is "fifty-three million, one hundred forty-two thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 53 82 106 123 159 164 212 246 318 328 424 492 636 984 1019 1272 2038 2173 3057 4076 4346 6114 6519 8152 8692 12228 13038 17384 24456 26076 41779 52152 54007 83558 108014 125337 162021 167116 216028 250674 324042 334232 432056 501348 648084 1002696 1296168 2214287 4428574 6642861 8857148 13285722 17714296 26571444 53142888