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13375008 = 253246441
BaseRepresentation
bin110011000001…
…011000100000
3221011112001200
4303001120200
511411000013
61154401200
7221454123
oct63013040
927145050
1013375008
117605929
124590200
132a03b0a
141ac23ba
151292e73
hexcc1620

13375008 has 36 divisors (see below), whose sum is σ = 38035998. Its totient is φ = 4458240.

The previous prime is 13375001. The next prime is 13375049. The reversal of 13375008 is 80057331.

It can be written as a sum of positive squares in only one way, i.e., 12873744 + 501264 = 3588^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (13375001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22933 + ... + 23508.

Almost surely, 213375008 is an apocalyptic number.

13375008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13375008 is an abundant number, since it is smaller than the sum of its proper divisors (24660990).

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

13375008 is a wasteful number, since it uses less digits than its factorization.

13375008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46457 (or 46446 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 13375008 is about 3657.1858033193. The cubic root of 13375008 is about 237.3730172529.

The spelling of 13375008 in words is "thirteen million, three hundred seventy-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 46441 92882 139323 185764 278646 371528 417969 557292 743056 835938 1114584 1486112 1671876 2229168 3343752 4458336 6687504 13375008