Search a number
-
+
56117936 = 2472312309
BaseRepresentation
bin1101011000010…
…0101010110000
310220121002100002
43112010222300
5103331233221
65322445132
71250665100
oct326045260
9126532302
1056117936
112974a266
12169637a8
13b81aca4
14764b200
154dd780b
hex3584ab0

56117936 has 60 divisors (see below), whose sum is σ = 130616640. Its totient is φ = 23264640.

The previous prime is 56117933. The next prime is 56117939. The reversal of 56117936 is 63971165.

It is an interprime number because it is at equal distance from previous prime (56117933) and next prime (56117939).

It is a self number, because there is not a number n which added to its sum of digits gives 56117936.

It is not an unprimeable number, because it can be changed into a prime (56117933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23150 + ... + 25458.

It is an arithmetic number, because the mean of its divisors is an integer number (2176944).

Almost surely, 256117936 is an apocalyptic number.

56117936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56117936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65308320).

56117936 is an abundant number, since it is smaller than the sum of its proper divisors (74498704).

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

56117936 is a wasteful number, since it uses less digits than its factorization.

56117936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2349 counting only the distinct ones).

The product of its digits is 34020, while the sum is 38.

The square root of 56117936 is about 7491.1905595840. The cubic root of 56117936 is about 382.8546237728.

The spelling of 56117936 in words is "fifty-six million, one hundred seventeen thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 392 434 496 784 868 1519 1736 2309 3038 3472 4618 6076 9236 12152 16163 18472 24304 32326 36944 64652 71579 113141 129304 143158 226282 258608 286316 452564 501053 572632 905128 1002106 1145264 1810256 2004212 3507371 4008424 7014742 8016848 14029484 28058968 56117936