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56464485 = 35711193183
BaseRepresentation
bin1101011101100…
…1010001100101
310221020200201020
43113121101211
5103423330420
65334121353
71253640330
oct327312145
9127220636
1056464485
1129966670
1216ab0259
13b90c94c
1476db617
154e55340
hex35d9465

56464485 has 128 divisors (see below), whose sum is σ = 123863040. Its totient is φ = 21254400.

The previous prime is 56464481. The next prime is 56464489. The reversal of 56464485 is 58446465.

It is an interprime number because it is at equal distance from previous prime (56464481) and next prime (56464489).

It is not a de Polignac number, because 56464485 - 22 = 56464481 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56464481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 680254 + ... + 680336.

It is an arithmetic number, because the mean of its divisors is an integer number (967680).

Almost surely, 256464485 is an apocalyptic number.

56464485 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56464485 is an abundant number, since it is smaller than the sum of its proper divisors (67398555).

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

56464485 is a wasteful number, since it uses less digits than its factorization.

56464485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159.

The product of its digits is 460800, while the sum is 42.

The square root of 56464485 is about 7514.2853951657. The cubic root of 56464485 is about 383.6410966780.

The spelling of 56464485 in words is "fifty-six million, four hundred sixty-four thousand, four hundred eighty-five".

Divisors: 1 3 5 7 11 15 19 21 31 33 35 55 57 77 83 93 95 105 133 155 165 209 217 231 249 285 341 385 399 415 465 581 589 627 651 665 913 1023 1045 1085 1155 1245 1463 1577 1705 1743 1767 1995 2387 2573 2739 2905 2945 3135 3255 4123 4389 4565 4731 5115 6391 6479 7161 7315 7719 7885 8715 8835 11039 11935 12369 12865 13695 17347 18011 19173 19437 20615 21945 23655 28303 31955 32395 33117 35805 38595 45353 48887 52041 54033 55195 61845 84909 86735 90055 95865 97185 121429 136059 141515 146661 165585 198121 226765 244435 260205 270165 342209 364287 424545 537757 594363 607145 680295 733305 990605 1026627 1613271 1711045 1821435 2688785 2971815 3764299 5133135 8066355 11292897 18821495 56464485