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56506410 = 234569761
BaseRepresentation
bin1101011110001…
…1100000101010
310221022211020000
43113203200222
5103431201120
65335043430
71254203502
oct327434052
9127284200
1056506410
1129995114
1216b10576
13b925a5c
14770ca02
154e62990
hex35e382a

56506410 has 40 divisors (see below), whose sum is σ = 151941636. Its totient is φ = 15068160.

The previous prime is 56506391. The next prime is 56506447. The reversal of 56506410 is 1460565.

It is a happy number.

56506410 is a `hidden beast` number, since 5 + 650 + 6 + 4 + 1 + 0 = 666.

56506410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 56205009 + 301401 = 7497^2 + 549^2 .

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 34071 + ... + 35690.

Almost surely, 256506410 is an apocalyptic number.

56506410 is an abundant number, since it is smaller than the sum of its proper divisors (95435226).

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

56506410 is a wasteful number, since it uses less digits than its factorization.

56506410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69780 (or 69771 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 56506410 is about 7517.0745639511. The cubic root of 56506410 is about 383.7360246301.

Adding to 56506410 its reverse (1460565), we get a palindrome (57966975).

The spelling of 56506410 in words is "fifty-six million, five hundred six thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 69761 139522 209283 348805 418566 627849 697610 1046415 1255698 1883547 2092830 3139245 3767094 5650641 6278490 9417735 11301282 18835470 28253205 56506410