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56464317 = 33741367
BaseRepresentation
bin1101011101100…
…1001110111101
310221020200111000
43113121032331
5103423324232
65334120513
71253640000
oct327311675
9127220430
1056464317
1129966528
1216ab0139
13b90c850
1476db537
154e5527c
hex35d93bd

56464317 has 80 divisors (see below), whose sum is σ = 106662080. Its totient is φ = 29338848.

The previous prime is 56464307. The next prime is 56464321. The reversal of 56464317 is 71346465.

It is a happy number.

56464317 is a `hidden beast` number, since 5 + 6 + 4 + 643 + 1 + 7 = 666.

It is not a de Polignac number, because 56464317 - 210 = 56463293 is a prime.

Its product of digits (60480) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56464307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 842718 + ... + 842784.

It is an arithmetic number, because the mean of its divisors is an integer number (1333276).

Almost surely, 256464317 is an apocalyptic number.

It is an amenable number.

56464317 is a deficient number, since it is larger than the sum of its proper divisors (50197763).

56464317 is an equidigital number, since it uses as much as digits as its factorization.

56464317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 56464317 is about 7514.2742164496. The cubic root of 56464317 is about 383.6407161925.

The spelling of 56464317 in words is "fifty-six million, four hundred sixty-four thousand, three hundred seventeen".

Divisors: 1 3 7 9 13 21 27 39 49 63 67 91 117 147 189 201 273 343 351 441 469 603 637 819 871 1029 1323 1407 1809 1911 2401 2457 2613 3087 3283 4221 4459 5733 6097 7203 7839 9261 9849 12663 13377 17199 18291 21609 22981 23517 29547 31213 40131 42679 54873 64827 68943 88641 93639 120393 128037 160867 164619 206829 280917 298753 384111 482601 620487 842751 896259 1152333 1447803 2091271 2688777 4343409 6273813 8066331 18821439 56464317