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56060664 = 233111311621
BaseRepresentation
bin1101010111011…
…0101011111000
310220111011202220
43111312223320
5103322420124
65321324040
71250336112
oct325665370
9126434686
1056060664
1129710230
1216936620
13b7cabba
1476343b2
154dc5879
hex3576af8

56060664 has 64 divisors (see below), whose sum is σ = 154154880. Its totient is φ = 16848000.

The previous prime is 56060663. The next prime is 56060671. The reversal of 56060664 is 46606065.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56060663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33774 + ... + 35394.

It is an arithmetic number, because the mean of its divisors is an integer number (2408670).

Almost surely, 256060664 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 56060664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77077440).

56060664 is an abundant number, since it is smaller than the sum of its proper divisors (98094216).

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

56060664 is a wasteful number, since it uses less digits than its factorization.

56060664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 56060664 is about 7487.3669604207. The cubic root of 56060664 is about 382.7243367673.

The spelling of 56060664 in words is "fifty-six million, sixty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 131 132 262 264 393 524 786 1048 1441 1572 1621 2882 3144 3242 4323 4863 5764 6484 8646 9726 11528 12968 17292 17831 19452 34584 35662 38904 53493 71324 106986 142648 212351 213972 424702 427944 637053 849404 1274106 1698808 2335861 2548212 4671722 5096424 7007583 9343444 14015166 18686888 28030332 56060664