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56156064 = 2532329877
BaseRepresentation
bin1101011000110…
…1111110100000
310220200000122020
43112031332200
5103333443224
65323341440
71251214206
oct326157640
9126600566
1056156064
1129775978
1216981880
13b832453
14765b076
154de3c79
hex358dfa0

56156064 has 96 divisors (see below), whose sum is σ = 159304320. Its totient is φ = 17267712.

The previous prime is 56156033. The next prime is 56156069. The reversal of 56156064 is 46065165.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (56156069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63594 + ... + 64470.

It is an arithmetic number, because the mean of its divisors is an integer number (1659420).

Almost surely, 256156064 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 56156064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79652160).

56156064 is an abundant number, since it is smaller than the sum of its proper divisors (103148256).

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

56156064 is a wasteful number, since it uses less digits than its factorization.

56156064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 56156064 is about 7493.7349833044. The cubic root of 56156064 is about 382.9413113063.

The spelling of 56156064 in words is "fifty-six million, one hundred fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 69 87 92 96 116 138 174 184 232 276 348 368 464 552 667 696 736 877 928 1104 1334 1392 1754 2001 2208 2631 2668 2784 3508 4002 5262 5336 7016 8004 10524 10672 14032 16008 20171 21048 21344 25433 28064 32016 40342 42096 50866 60513 64032 76299 80684 84192 101732 121026 152598 161368 203464 242052 305196 322736 406928 484104 584959 610392 645472 813856 968208 1169918 1220784 1754877 1936416 2339836 2441568 3509754 4679672 7019508 9359344 14039016 18718688 28078032 56156064