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319892056 = 231121917393
BaseRepresentation
bin10011000100010…
…010101001011000
3211021221012101221
4103010102221120
51123343021211
651424221424
710633015621
oct2304225130
9737835357
10319892056
11154630700
128b16a874
1351374053
14306b0a48
151d13cc71
hex13112a58

319892056 has 48 divisors (see below), whose sum is σ = 694020600. Its totient is φ = 137744640.

The previous prime is 319892029. The next prime is 319892057. The reversal of 319892056 is 650298913.

It is a happy number.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319892057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9696 + ... + 27088.

Almost surely, 2319892056 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 319892056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347010300).

319892056 is an abundant number, since it is smaller than the sum of its proper divisors (374128544).

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

319892056 is a wasteful number, since it uses less digits than its factorization.

319892056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17440 (or 17425 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 319892056 is about 17885.5264389953. The cubic root of 319892056 is about 683.9134610031.

The spelling of 319892056 in words is "three hundred nineteen million, eight hundred ninety-two thousand, fifty-six".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 152 209 242 418 484 836 968 1672 2299 4598 9196 17393 18392 34786 69572 139144 191323 330467 382646 660934 765292 1321868 1530584 2104553 2643736 3635137 4209106 7270274 8418212 14540548 16836424 29081096 39986507 79973014 159946028 319892056