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56664993 = 37113141193
BaseRepresentation
bin1101100000101…
…0001110100001
310221121212202110
43120022032201
5104001234433
65342305533
71255434030
oct330121641
9127555673
1056664993
1129a93280
1216b882a9
13b97cca8
147750717
154e94963
hex360a3a1

56664993 has 64 divisors (see below), whose sum is σ = 100122624. Its totient is φ = 27648000.

The previous prime is 56664989. The next prime is 56664997. The reversal of 56664993 is 39946665.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56664989) and next prime (56664997).

It is not a de Polignac number, because 56664993 - 22 = 56664989 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56664997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 293505 + ... + 293697.

It is an arithmetic number, because the mean of its divisors is an integer number (1564416).

Almost surely, 256664993 is an apocalyptic number.

It is an amenable number.

56664993 is a deficient number, since it is larger than the sum of its proper divisors (43457631).

56664993 is a wasteful number, since it uses less digits than its factorization.

56664993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286.

The product of its digits is 1049760, while the sum is 48.

The square root of 56664993 is about 7527.6153594615. The cubic root of 56664993 is about 384.0946693129.

The spelling of 56664993 in words is "fifty-six million, six hundred sixty-four thousand, nine hundred ninety-three".

Divisors: 1 3 7 11 21 31 33 41 77 93 123 193 217 231 287 341 451 579 651 861 1023 1271 1351 1353 2123 2387 3157 3813 4053 5983 6369 7161 7913 8897 9471 13981 14861 17949 23739 26691 41881 41943 44583 55391 65813 87043 97867 125643 166173 197439 245303 261129 293601 460691 609301 735909 1382073 1717121 1827903 2698333 5151363 8094999 18888331 56664993