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56590002 = 234727129
BaseRepresentation
bin1101011111011…
…1111010110010
310221111001220000
43113313322302
5103441340002
65340530430
71255002300
oct327677262
9127431800
1056590002
1129a419a7
1216b50a16
13b954b11
147731270
154e7c61c
hex35f7eb2

56590002 has 60 divisors (see below), whose sum is σ = 147526830. Its totient is φ = 16166304.

The previous prime is 56589971. The next prime is 56590007. The reversal of 56590002 is 20009565.

56590002 is a `hidden beast` number, since 5 + 659 + 0 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45441081 + 11148921 = 6741^2 + 3339^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (56590007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4374 + ... + 11502.

Almost surely, 256590002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56590002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73763415).

56590002 is an abundant number, since it is smaller than the sum of its proper divisors (90936828).

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

56590002 is a wasteful number, since it uses less digits than its factorization.

56590002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7157 (or 7141 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 56590002 is about 7522.6326508743. The cubic root of 56590002 is about 383.9251563119.

Adding to 56590002 its reverse (20009565), we get a palindrome (76599567).

The spelling of 56590002 in words is "fifty-six million, five hundred ninety thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 7129 7938 14258 21387 42774 49903 64161 99806 128322 149709 192483 299418 349321 384966 449127 577449 698642 898254 1047963 1154898 1347381 2095926 2694762 3143889 4042143 6287778 8084286 9431667 18863334 28295001 56590002