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56440692 = 22337112617
BaseRepresentation
bin1101011101001…
…1011101110100
310221012111002000
43113103131310
5103422100232
65333415300
71253511060
oct327233564
9127174060
1056440692
112994a800
1216a9a530
13b901b79
1476d2aa0
154e4d27c
hex35d3774

56440692 has 144 divisors (see below), whose sum is σ = 184114560. Its totient is φ = 14636160.

The previous prime is 56440673. The next prime is 56440717. The reversal of 56440692 is 29604465.

56440692 is a `hidden beast` number, since 5 + 644 + 0 + 6 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91168 + ... + 91784.

Almost surely, 256440692 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 56440692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92057280).

56440692 is an abundant number, since it is smaller than the sum of its proper divisors (127673868).

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

56440692 is a wasteful number, since it uses less digits than its factorization.

56440692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 56440692 is about 7512.7020438721. The cubic root of 56440692 is about 383.5872028896.

The spelling of 56440692 in words is "fifty-six million, four hundred forty thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 121 126 132 154 189 198 231 242 252 297 308 363 378 396 462 484 594 617 693 726 756 847 924 1089 1188 1234 1386 1452 1694 1851 2079 2178 2468 2541 2772 3267 3388 3702 4158 4319 4356 5082 5553 6534 6787 7404 7623 8316 8638 10164 11106 12957 13068 13574 15246 16659 17276 20361 22212 22869 25914 27148 30492 33318 38871 40722 45738 47509 51828 61083 66636 74657 77742 81444 91476 95018 116613 122166 142527 149314 155484 183249 190036 223971 233226 244332 285054 298628 366498 427581 447942 466452 522599 570108 671913 732996 855162 895884 1045198 1282743 1343826 1567797 1710324 2015739 2090396 2565486 2687652 3135594 4031478 4703391 5130972 6271188 8062956 9406782 14110173 18813564 28220346 56440692