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239342592 = 2103174583
BaseRepresentation
bin11100100010000…
…01010000000000
3121200100212022110
432101001100000
5442232430332
635425535320
75634243546
oct1621012000
9550325273
10239342592
111131146a5
12681a4540
133a780848
1423b03d96
151602b4cc
hexe441400

239342592 has 88 divisors (see below), whose sum is σ = 675608256. Its totient is φ = 75071488.

The previous prime is 239342591. The next prime is 239342611. The reversal of 239342592 is 295243932.

239342592 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 239342592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239342591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49933 + ... + 54515.

Almost surely, 2239342592 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 239342592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337804128).

239342592 is an abundant number, since it is smaller than the sum of its proper divisors (436265664).

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

239342592 is a wasteful number, since it uses less digits than its factorization.

239342592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4623 (or 4605 counting only the distinct ones).

The product of its digits is 116640, while the sum is 39.

The square root of 239342592 is about 15470.7010830150. The cubic root of 239342592 is about 620.8785602214.

The spelling of 239342592 in words is "two hundred thirty-nine million, three hundred forty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2176 3072 3264 4352 4583 6528 8704 9166 13056 13749 17408 18332 26112 27498 36664 52224 54996 73328 77911 109992 146656 155822 219984 233733 293312 311644 439968 467466 586624 623288 879936 934932 1173248 1246576 1759872 1869864 2346496 2493152 3519744 3739728 4692992 4986304 7039488 7479456 9972608 14078976 14958912 19945216 29917824 39890432 59835648 79780864 119671296 239342592