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56264208 = 243711131171
BaseRepresentation
bin1101011010100…
…0011000010000
310220212111222120
43112220120100
5103400423313
65325534240
71252144410
oct326503020
9126774876
1056264208
112983a150
1216a14380
13b86c740
147688640
154e15d23
hex35a8610

56264208 has 160 divisors (see below), whose sum is σ = 195320832. Its totient is φ = 13478400.

The previous prime is 56264191. The next prime is 56264209. The reversal of 56264208 is 80246265.

It is a super-2 number, since 2×562642082 = 6331322203734528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (56264209) 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, 47463 + ... + 48633.

Almost surely, 256264208 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 56264208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97660416).

56264208 is an abundant number, since it is smaller than the sum of its proper divisors (139056624).

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

56264208 is a wasteful number, since it uses less digits than its factorization.

56264208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 56264208 is about 7500.9471401950. The cubic root of 56264208 is about 383.1869734052.

The spelling of 56264208 in words is "fifty-six million, two hundred sixty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1171 1232 1456 1716 1848 2002 2184 2288 2342 3003 3432 3513 3696 4004 4368 4684 6006 6864 7026 8008 8197 9368 12012 12881 14052 15223 16016 16394 18736 24024 24591 25762 28104 30446 32788 38643 45669 48048 49182 51524 56208 60892 65576 77286 90167 91338 98364 103048 106561 121784 131152 154572 167453 180334 182676 196728 206096 213122 243568 270501 309144 319683 334906 360668 365352 393456 426244 502359 541002 618288 639366 669812 721336 730704 852488 1004718 1082004 1172171 1278732 1339624 1442672 1704976 2009436 2164008 2344342 2557464 2679248 3516513 4018872 4328016 4688684 5114928 7033026 8037744 9377368 14066052 18754736 28132104 56264208