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239712968 = 231119307467
BaseRepresentation
bin11100100100110…
…11101011001000
3121201001200101002
432102123223020
5442331303333
635441514132
75640345425
oct1622335310
9551050332
10239712968
111133479a0
1268342948
133a8802c1
1423b9cd4c
15160a10e8
hexe49bac8

239712968 has 64 divisors (see below), whose sum is σ = 518918400. Its totient is φ = 102669120.

The previous prime is 239712959. The next prime is 239712989. The reversal of 239712968 is 869217932.

It is a happy number.

239712968 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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513071 + ... + 513537.

It is an arithmetic number, because the mean of its divisors is an integer number (8108100).

Almost surely, 2239712968 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 239712968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259459200).

239712968 is an abundant number, since it is smaller than the sum of its proper divisors (279205432).

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

239712968 is a wasteful number, since it uses less digits than its factorization.

239712968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 806 counting only the distinct ones).

The product of its digits is 326592, while the sum is 47.

The square root of 239712968 is about 15482.6666953726. Note that the first 4 decimals coincide. The cubic root of 239712968 is about 621.1986592608.

The spelling of 239712968 in words is "two hundred thirty-nine million, seven hundred twelve thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 307 418 467 614 836 934 1228 1672 1868 2456 3377 3736 5137 5833 6754 8873 10274 11666 13508 17746 20548 23332 27016 35492 41096 46664 64163 70984 97603 128326 143369 195206 256652 286738 390412 513304 573476 780824 1146952 1577059 2724011 3154118 5448022 6308236 10896044 12616472 21792088 29964121 59928242 119856484 239712968