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368025856 = 281121092
BaseRepresentation
bin10101111011111…
…010000100000000
3221122111122120021
4111323322010000
51223203311411
6100304023224
712056111452
oct2573720400
9848448507
10368025856
11179817300
12a3301b14
135b327ba3
1436c402d2
1522499a71
hex15efa100

368025856 has 81 divisors (see below), whose sum is σ = 814944333. Its totient is φ = 165749760.

The previous prime is 368025851. The next prime is 368025869. The reversal of 368025856 is 658520863.

It is a happy number.

The square root of 368025856 is 19184.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 256512256 + 111513600 = 16016^2 + 10560^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (368025851) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 3376330 + ... + 3376438.

Almost surely, 2368025856 is an apocalyptic number.

368025856 is the 19184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368025856

368025856 is an abundant number, since it is smaller than the sum of its proper divisors (446918477).

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

368025856 is an equidigital number, since it uses as much as digits as its factorization.

368025856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The cubic root of 368025856 is about 716.6263570141.

The spelling of 368025856 in words is "three hundred sixty-eight million, twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 109 121 128 176 218 242 256 352 436 484 704 872 968 1199 1408 1744 1936 2398 2816 3488 3872 4796 6976 7744 9592 11881 13189 13952 15488 19184 23762 26378 27904 30976 38368 47524 52756 76736 95048 105512 130691 153472 190096 211024 261382 306944 380192 422048 522764 760384 844096 1045528 1437601 1520768 1688192 2091056 2875202 3041536 3376384 4182112 5750404 8364224 11500808 16728448 23001616 33456896 46003232 92006464 184012928 368025856