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239059104 = 2533180329
BaseRepresentation
bin11100011111111…
…00000010100000
3121122211110102220
432033330002200
5442144342404
635415511040
75631653214
oct1617740240
9548743386
10239059104
11112a40709
1268088480
133a6b17bb
1423a6c944
1515ec24d9
hexe3fc0a0

239059104 has 48 divisors (see below), whose sum is σ = 647781120. Its totient is φ = 77114880.

The previous prime is 239059099. The next prime is 239059141. The reversal of 239059104 is 401950932.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 37189 + ... + 43140.

It is an arithmetic number, because the mean of its divisors is an integer number (13495440).

Almost surely, 2239059104 is an apocalyptic number.

239059104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

239059104 is an abundant number, since it is smaller than the sum of its proper divisors (408722016).

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

239059104 is a wasteful number, since it uses less digits than its factorization.

239059104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80373 (or 80365 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 239059104 is about 15461.5362755452. The cubic root of 239059104 is about 620.6333313250.

The spelling of 239059104 in words is "two hundred thirty-nine million, fifty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 80329 160658 240987 321316 481974 642632 963948 1285264 1927896 2490199 2570528 3855792 4980398 7470597 7711584 9960796 14941194 19921592 29882388 39843184 59764776 79686368 119529552 239059104