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56147112 = 233271011103
BaseRepresentation
bin1101011000101…
…1110010101000
310220122120100200
43112023302220
5103333201422
65323232200
71251146130
oct326136250
9126576320
1056147112
112976a17a
1216978660
13b82b358
147657ac0
154de12ac
hex358bca8

56147112 has 96 divisors (see below), whose sum is σ = 175668480. Its totient is φ = 15868800.

The previous prime is 56147089. The next prime is 56147123. The reversal of 56147112 is 21174165.

It is a happy number.

56147112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 50353 + ... + 51455.

It is an arithmetic number, because the mean of its divisors is an integer number (1829880).

Almost surely, 256147112 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 56147112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87834240).

56147112 is an abundant number, since it is smaller than the sum of its proper divisors (119521368).

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

56147112 is a wasteful number, since it uses less digits than its factorization.

56147112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1216 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 56147112 is about 7493.1376605532. The cubic root of 56147112 is about 382.9209616322.

The spelling of 56147112 in words is "fifty-six million, one hundred forty-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 101 126 168 202 252 303 404 504 606 707 808 909 1103 1212 1414 1818 2121 2206 2424 2828 3309 3636 4242 4412 5656 6363 6618 7272 7721 8484 8824 9927 12726 13236 15442 16968 19854 23163 25452 26472 30884 39708 46326 50904 61768 69489 79416 92652 111403 138978 185304 222806 277956 334209 445612 555912 668418 779821 891224 1002627 1336836 1559642 2005254 2339463 2673672 3119284 4010508 4678926 6238568 7018389 8021016 9357852 14036778 18715704 28073556 56147112