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56116416 = 263331883
BaseRepresentation
bin1101011000010…
…0010011000000
310220121000020210
43112010103000
5103331211131
65322434120
71250660466
oct326042300
9126530223
1056116416
1129749104
1216962940
13b81a3a5
14764a836
154dd7146
hex35844c0

56116416 has 56 divisors (see below), whose sum is σ = 149091904. Its totient is φ = 18627840.

The previous prime is 56116409. The next prime is 56116429. The reversal of 56116416 is 61461165.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63111 + ... + 63993.

Almost surely, 256116416 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 56116416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74545952).

56116416 is an abundant number, since it is smaller than the sum of its proper divisors (92975488).

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

56116416 is a wasteful number, since it uses less digits than its factorization.

56116416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1219 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 56116416 is about 7491.0891063983. The cubic root of 56116416 is about 382.8511670985.

The spelling of 56116416 in words is "fifty-six million, one hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 331 662 883 993 1324 1766 1986 2648 2649 3532 3972 5296 5298 7064 7944 10592 10596 14128 15888 21184 21192 28256 31776 42384 56512 63552 84768 169536 292273 584546 876819 1169092 1753638 2338184 3507276 4676368 7014552 9352736 14029104 18705472 28058208 56116416