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56366616 = 23319711741
BaseRepresentation
bin1101011100000…
…1011000011000
310221001201110110
43113001120120
5103412212431
65332044320
71253052105
oct327013030
9127051413
1056366616
11298aa089
1216a636a0
13b8a7237
1476b3aac
154e36346
hex35c1618

56366616 has 64 divisors (see below), whose sum is σ = 150508800. Its totient is φ = 17539200.

The previous prime is 56366581. The next prime is 56366617. The reversal of 56366616 is 61666365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56366617) 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, 31506 + ... + 33246.

It is an arithmetic number, because the mean of its divisors is an integer number (2351700).

Almost surely, 256366616 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 56366616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75254400).

56366616 is an abundant number, since it is smaller than the sum of its proper divisors (94142184).

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

56366616 is a wasteful number, since it uses less digits than its factorization.

56366616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1836 counting only the distinct ones).

The product of its digits is 116640, while the sum is 39.

The square root of 56366616 is about 7507.7703747517. The cubic root of 56366616 is about 383.4193154743.

The spelling of 56366616 in words is "fifty-six million, three hundred sixty-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 71 76 114 142 152 213 228 284 426 456 568 852 1349 1704 1741 2698 3482 4047 5223 5396 6964 8094 10446 10792 13928 16188 20892 32376 33079 41784 66158 99237 123611 132316 198474 247222 264632 370833 396948 494444 741666 793896 988888 1483332 2348609 2966664 4697218 7045827 9394436 14091654 18788872 28183308 56366616