Search a number
-
+
56116676 = 227111671091
BaseRepresentation
bin1101011000010…
…0010111000100
310220121000121102
43112010113010
5103331213201
65322435232
71250661320
oct326042704
9126530542
1056116676
1129749320
1216962b18
13b81a545
14764a980
154dd726b
hex35845c4

56116676 has 48 divisors (see below), whose sum is σ = 123282432. Its totient is φ = 21712800.

The previous prime is 56116673. The next prime is 56116681. The reversal of 56116676 is 67661165.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (56116673) 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 15 ways as a sum of consecutive naturals, for example, 50891 + ... + 51981.

It is an arithmetic number, because the mean of its divisors is an integer number (2568384).

Almost surely, 256116676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56116676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61641216).

56116676 is an abundant number, since it is smaller than the sum of its proper divisors (67165756).

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

56116676 is a wasteful number, since it uses less digits than its factorization.

56116676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1278 counting only the distinct ones).

The product of its digits is 45360, while the sum is 38.

The square root of 56116676 is about 7491.1064603301. The cubic root of 56116676 is about 382.8517583762.

The spelling of 56116676 in words is "fifty-six million, one hundred sixteen thousand, six hundred seventy-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 167 308 334 668 1091 1169 1837 2182 2338 3674 4364 4676 7348 7637 12001 12859 15274 24002 25718 30548 48004 51436 84007 168014 182197 336028 364394 728788 1275379 2004167 2550758 4008334 5101516 8016668 14029169 28058338 56116676