Search a number
-
+
56311008 = 2531345121
BaseRepresentation
bin1101011011001…
…1110011100000
310220221220011220
43112303303200
5103403423013
65330535040
71252431015
oct326636340
9126856156
1056311008
1129871326
1216a37480
13b887b30
14769b70c
154e24b23
hex35b3ce0

56311008 has 48 divisors (see below), whose sum is σ = 159190416. Its totient is φ = 17326080.

The previous prime is 56311007. The next prime is 56311019. The reversal of 56311008 is 80011365.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56311001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21313 + ... + 23808.

It is an arithmetic number, because the mean of its divisors is an integer number (3316467).

Almost surely, 256311008 is an apocalyptic number.

It is an amenable number.

56311008 is an abundant number, since it is smaller than the sum of its proper divisors (102879408).

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

56311008 is a wasteful number, since it uses less digits than its factorization.

56311008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45147 (or 45139 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 56311008 is about 7504.0660977899. The cubic root of 56311008 is about 383.2931876462.

The spelling of 56311008 in words is "fifty-six million, three hundred eleven thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 45121 90242 135363 180484 270726 360968 541452 586573 721936 1082904 1173146 1443872 1759719 2165808 2346292 3519438 4331616 4692584 7038876 9385168 14077752 18770336 28155504 56311008