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56057001 = 37112131697
BaseRepresentation
bin1101010111010…
…1110010101001
310220110222202020
43111311302221
5103322311001
65321255053
71250322330
oct325656251
9126428666
1056057001
1129708500
1216934489
13b7c9330
147632d17
154dc4736
hex3575ca9

56057001 has 48 divisors (see below), whose sum is σ = 101173632. Its totient is φ = 26864640.

The previous prime is 56056951. The next prime is 56057033. The reversal of 56057001 is 10075065.

It is not a de Polignac number, because 56057001 - 26 = 56056937 is a prime.

It is a super-3 number, since 3×560570013 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56057101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32185 + ... + 33881.

It is an arithmetic number, because the mean of its divisors is an integer number (2107784).

Almost surely, 256057001 is an apocalyptic number.

It is an amenable number.

56057001 is a deficient number, since it is larger than the sum of its proper divisors (45116631).

56057001 is a wasteful number, since it uses less digits than its factorization.

56057001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 56057001 is about 7487.1223443991. The cubic root of 56057001 is about 382.7160008583.

The spelling of 56057001 in words is "fifty-six million, fifty-seven thousand, one".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 231 273 363 429 847 1001 1573 1697 2541 3003 4719 5091 11011 11879 18667 22061 33033 35637 56001 66183 130669 154427 205337 242671 392007 463281 616011 728013 1437359 1698697 2669381 4312077 5096091 8008143 18685667 56057001