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56616 = 2337337
BaseRepresentation
bin1101110100101000
32212122220
431310220
53302431
61114040
7324030
oct156450
985586
1056616
113959a
1228920
131ca01
14168c0
1511b96
hexdd28

56616 has 32 divisors (see below), whose sum is σ = 162240. Its totient is φ = 16128.

The previous prime is 56611. The next prime is 56629. The reversal of 56616 is 61665.

56616 = T76 + T77 + ... + T91.

56616 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

56616 is a nontrivial binomial coefficient, being equal to C(337, 2).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56611) 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, 1 + ... + 336.

It is an arithmetic number, because the mean of its divisors is an integer number (5070).

256616 is an apocalyptic number.

56616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

56616 is the 336-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81120).

56616 is an abundant number, since it is smaller than the sum of its proper divisors (105624).

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

56616 is a wasteful number, since it uses less digits than its factorization.

56616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 349 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 56616 is about 237.9411691994. The cubic root of 56616 is about 38.3983940301.

The spelling of 56616 in words is "fifty-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 337 674 1011 1348 2022 2359 2696 4044 4718 7077 8088 9436 14154 18872 28308 56616