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56401665 = 3517292263
BaseRepresentation
bin1101011100100…
…1111100000001
310221010111112120
43113021330001
5103414323130
65332514453
71253256225
oct327117401
9127114476
1056401665
1129923451
1216a7ba29
13b8ba188
1476c2785
154e41910
hex35c9f01

56401665 has 48 divisors (see below), whose sum is σ = 99335808. Its totient is φ = 27231232.

The previous prime is 56401663. The next prime is 56401673. The reversal of 56401665 is 56610465.

56401665 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56401665 - 21 = 56401663 is a prime.

It is a super-2 number, since 2×564016652 = 6362295629544450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56401663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214324 + ... + 214586.

It is an arithmetic number, because the mean of its divisors is an integer number (2069496).

Almost surely, 256401665 is an apocalyptic number.

It is an amenable number.

56401665 is a deficient number, since it is larger than the sum of its proper divisors (42934143).

56401665 is a wasteful number, since it uses less digits than its factorization.

56401665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 56401665 is about 7510.1041936847. The cubic root of 56401665 is about 383.4987695917.

The spelling of 56401665 in words is "fifty-six million, four hundred one thousand, six hundred sixty-five".

Divisors: 1 3 5 15 17 29 51 85 87 145 255 263 435 493 789 841 1315 1479 2465 2523 3945 4205 4471 7395 7627 12615 13413 14297 22355 22881 38135 42891 67065 71485 114405 129659 214455 221183 388977 648295 663549 1105915 1944885 3317745 3760111 11280333 18800555 56401665