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239383296 = 283359587
BaseRepresentation
bin11100100010010…
…11001100000000
3121200102221011000
432101023030000
5442240231141
635430452000
75634503325
oct1621131400
9550387130
10239383296
11113142239
1268204000
133a796229
1423b14b4c
15160385b6
hexe44b300

239383296 has 144 divisors (see below), whose sum is σ = 721123200. Its totient is φ = 78308352.

The previous prime is 239383283. The next prime is 239383321. The reversal of 239383296 is 692383932.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

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, 407515 + ... + 408101.

It is an arithmetic number, because the mean of its divisors is an integer number (5007800).

Almost surely, 2239383296 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 239383296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360561600).

239383296 is an abundant number, since it is smaller than the sum of its proper divisors (481739904).

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

239383296 is an equidigital number, since it uses as much as digits as its factorization.

239383296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 651 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 239383296 is about 15472.0165460098. The cubic root of 239383296 is about 620.9137549718.

The spelling of 239383296 in words is "two hundred thirty-nine million, three hundred eighty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 96 108 118 128 144 177 192 216 236 256 288 354 384 432 472 531 576 587 708 768 864 944 1062 1152 1174 1416 1593 1728 1761 1888 2124 2304 2348 2832 3186 3456 3522 3776 4248 4696 5283 5664 6372 6912 7044 7552 8496 9392 10566 11328 12744 14088 15104 15849 16992 18784 21132 22656 25488 28176 31698 33984 34633 37568 42264 45312 50976 56352 63396 67968 69266 75136 84528 101952 103899 112704 126792 135936 138532 150272 169056 203904 207798 225408 253584 277064 311697 338112 407808 415596 450816 507168 554128 623394 676224 831192 935091 1014336 1108256 1246788 1352448 1662384 1870182 2028672 2216512 2493576 3324768 3740364 4057344 4433024 4987152 6649536 7480728 8866048 9974304 13299072 14961456 19948608 26598144 29922912 39897216 59845824 79794432 119691648 239383296