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56318444 = 22721323312
BaseRepresentation
bin1101011011010…
…1100111101100
310220222021101022
43112311213230
5103404142234
65331033312
71252461500
oct326654754
9126867338
1056318444
1129876976
1216a3b838
13b88b330
1476a0300
154e26e2e
hex35b59ec

56318444 has 108 divisors (see below), whose sum is σ = 133125552. Its totient is φ = 20623680.

The previous prime is 56318419. The next prime is 56318453. The reversal of 56318444 is 44481365.

It is a super-2 number, since 2×563184442 = 6343534269162272, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1816709 + ... + 1816739.

It is an arithmetic number, because the mean of its divisors is an integer number (1232644).

Almost surely, 256318444 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 56318444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66562776).

56318444 is an abundant number, since it is smaller than the sum of its proper divisors (76807108).

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

56318444 is a wasteful number, since it uses less digits than its factorization.

56318444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 76 counting only the distinct ones).

The product of its digits is 46080, while the sum is 35.

The square root of 56318444 is about 7504.5615461531. The cubic root of 56318444 is about 383.3100584902.

The spelling of 56318444 in words is "fifty-six million, three hundred eighteen thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 23 26 28 31 46 49 52 62 91 92 98 124 161 182 196 217 299 322 364 403 434 598 637 644 713 806 868 961 1127 1196 1274 1426 1519 1612 1922 2093 2254 2548 2821 2852 3038 3844 4186 4508 4991 5642 6076 6727 8372 9269 9982 11284 12493 13454 14651 18538 19747 19964 22103 24986 26908 29302 34937 37076 39494 44206 47089 49972 58604 64883 69874 78988 87451 88412 94178 129766 139748 154721 174902 188356 259532 287339 309442 349804 454181 574678 612157 618884 908362 1083047 1149356 1224314 1816724 2011373 2166094 2448628 4022746 4332188 8045492 14079611 28159222 56318444