Search a number
-
+
56689760 = 2551392549
BaseRepresentation
bin1101100001000…
…0010001100000
310221200010201202
43120100101200
5104003033020
65343020332
71255566161
oct330202140
9127603652
1056689760
1129aaa946
1216b9a6a8
13b98b34a
147759768
154e9be75
hex3610460

56689760 has 48 divisors (see below), whose sum is σ = 134946000. Its totient is φ = 22503936.

The previous prime is 56689753. The next prime is 56689769. The reversal of 56689760 is 6798665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56689769) 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, 20966 + ... + 23514.

It is an arithmetic number, because the mean of its divisors is an integer number (2811375).

Almost surely, 256689760 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 56689760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67473000).

56689760 is an abundant number, since it is smaller than the sum of its proper divisors (78256240).

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

56689760 is a wasteful number, since it uses less digits than its factorization.

56689760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The square root of 56689760 is about 7529.2602558286. The cubic root of 56689760 is about 384.1506208893.

The spelling of 56689760 in words is "fifty-six million, six hundred eighty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 139 160 278 556 695 1112 1390 2224 2549 2780 4448 5098 5560 10196 11120 12745 20392 22240 25490 40784 50980 81568 101960 203920 354311 407840 708622 1417244 1771555 2834488 3543110 5668976 7086220 11337952 14172440 28344880 56689760