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239668288 = 2641149613
BaseRepresentation
bin11100100100100…
…00110001000000
3121200222102002021
432102100301000
5442323341123
635440531224
75640101236
oct1622206100
9550872067
10239668288
11113317372
1268320b14
133a865b72
1423b8a956
1516092c5d
hexe490c40

239668288 has 56 divisors (see below), whose sum is σ = 491261400. Its totient is φ = 115937280.

The previous prime is 239668243. The next prime is 239668307. The reversal of 239668288 is 882866932.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 49449024 + 190219264 = 7032^2 + 13792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 390670 + ... + 391282.

It is an arithmetic number, because the mean of its divisors is an integer number (8772525).

Almost surely, 2239668288 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 239668288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245630700).

239668288 is an abundant number, since it is smaller than the sum of its proper divisors (251593112).

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

239668288 is a wasteful number, since it uses less digits than its factorization.

239668288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 805 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 52.

The square root of 239668288 is about 15481.2237242409. The cubic root of 239668288 is about 621.1600618764.

The spelling of 239668288 in words is "two hundred thirty-nine million, six hundred sixty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 149 164 298 328 596 613 656 1192 1226 1312 2384 2452 2624 4768 4904 6109 9536 9808 12218 19616 24436 25133 39232 48872 50266 91337 97744 100532 182674 195488 201064 365348 390976 402128 730696 804256 1461392 1608512 2922784 3744817 5845568 7489634 14979268 29958536 59917072 119834144 239668288