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53115008 = 272941349
BaseRepresentation
bin1100101010011…
…1100010000000
310200221112002112
43022213202000
5102044140013
65134234452
71213320152
oct312474200
9120845075
1053115008
1127a89101
1215955a28
13b0091cb
1470a8ad2
1549e2ba8
hex32a7880

53115008 has 64 divisors (see below), whose sum is σ = 112455000. Its totient is φ = 24944640.

The previous prime is 53114989. The next prime is 53115031. The reversal of 53115008 is 80051135.

It can be written as a sum of positive squares in 4 ways, for example, as 39037504 + 14077504 = 6248^2 + 3752^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152018 + ... + 152366.

Almost surely, 253115008 is an apocalyptic number.

53115008 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53115008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56227500).

53115008 is an abundant number, since it is smaller than the sum of its proper divisors (59339992).

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

53115008 is a wasteful number, since it uses less digits than its factorization.

53115008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 53115008 is about 7288.0043907780. The cubic root of 53115008 is about 375.9000790771.

The spelling of 53115008 in words is "fifty-three million, one hundred fifteen thousand, eight".

Divisors: 1 2 4 8 16 29 32 41 58 64 82 116 128 164 232 328 349 464 656 698 928 1189 1312 1396 1856 2378 2624 2792 3712 4756 5248 5584 9512 10121 11168 14309 19024 20242 22336 28618 38048 40484 44672 57236 76096 80968 114472 152192 161936 228944 323872 414961 457888 647744 829922 915776 1295488 1659844 1831552 3319688 6639376 13278752 26557504 53115008