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56126168 = 2372672137
BaseRepresentation
bin1101011000011…
…0101011011000
310220121111121222
43112012223120
5103332014133
65322551212
71251031100
oct326065330
9126544558
1056126168
112975546a
1216968508
13b821967
147650200
154dd9e98
hex3586ad8

56126168 has 48 divisors (see below), whose sum is σ = 124303320. Its totient is φ = 23683968.

The previous prime is 56126153. The next prime is 56126173. The reversal of 56126168 is 86162165.

It is a happy number.

56126168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 25196 + ... + 27332.

Almost surely, 256126168 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 56126168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62151660).

56126168 is an abundant number, since it is smaller than the sum of its proper divisors (68177152).

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

56126168 is a wasteful number, since it uses less digits than its factorization.

56126168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2213 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 56126168 is about 7491.7399848099. The cubic root of 56126168 is about 382.8733433088.

The spelling of 56126168 in words is "fifty-six million, one hundred twenty-six thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 67 98 134 196 268 392 469 536 938 1876 2137 3283 3752 4274 6566 8548 13132 14959 17096 26264 29918 59836 104713 119672 143179 209426 286358 418852 572716 837704 1002253 1145432 2004506 4009012 7015771 8018024 14031542 28063084 56126168