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56188356 = 223723127229
BaseRepresentation
bin1101011001010…
…1110111000100
310220201122221020
43112111313010
5103341011411
65324151140
71251410310
oct326256704
9126648836
1056188356
1129798164
12169984b0
13b844063
147668b40
154ded606
hex3595dc4

56188356 has 96 divisors (see below), whose sum is σ = 158269440. Its totient is φ = 15168384.

The previous prime is 56188331. The next prime is 56188357. The reversal of 56188356 is 65388165.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (56188357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245250 + ... + 245478.

It is an arithmetic number, because the mean of its divisors is an integer number (1648640).

Almost surely, 256188356 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 56188356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79134720).

56188356 is an abundant number, since it is smaller than the sum of its proper divisors (102081084).

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

56188356 is a wasteful number, since it uses less digits than its factorization.

56188356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 391 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 56188356 is about 7495.8892734618. The cubic root of 56188356 is about 383.0146994701.

The spelling of 56188356 in words is "fifty-six million, one hundred eighty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 127 138 161 229 254 276 322 381 458 483 508 644 687 762 889 916 966 1374 1524 1603 1778 1932 2667 2748 2921 3206 3556 4809 5267 5334 5842 6412 8763 9618 10534 10668 11684 15801 17526 19236 20447 21068 29083 31602 35052 36869 40894 58166 61341 63204 73738 81788 87249 110607 116332 122682 147476 174498 203581 221214 245364 348996 407162 442428 610743 668909 814324 1221486 1337818 2006727 2442972 2675636 4013454 4682363 8026908 9364726 14047089 18729452 28094178 56188356