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56666148 = 22372118761
BaseRepresentation
bin1101100000101…
…0100000100100
310221121221100020
43120022200210
5104001304043
65342315140
71255440300
oct330124044
9127557306
1056666148
1129a94130
1216b88ab0
13b980686
147750d00
154e94e83
hex360a824

56666148 has 72 divisors (see below), whose sum is σ = 167809824. Its totient is φ = 14716800.

The previous prime is 56666123. The next prime is 56666149. The reversal of 56666148 is 84166665.

It is a super-2 number, since 2×566661482 = 6422104658315808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56666149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2088 + ... + 10848.

It is an arithmetic number, because the mean of its divisors is an integer number (2330692).

Almost surely, 256666148 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 56666148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83904912).

56666148 is an abundant number, since it is smaller than the sum of its proper divisors (111143676).

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

56666148 is a wasteful number, since it uses less digits than its factorization.

56666148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8793 (or 8784 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 56666148 is about 7527.6920765929. The cubic root of 56666148 is about 384.0972789566.

The spelling of 56666148 in words is "fifty-six million, six hundred sixty-six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 3234 6468 8761 17522 26283 35044 52566 61327 96371 105132 122654 183981 192742 245308 289113 367962 385484 429289 578226 674597 735924 858578 1156452 1287867 1349194 1717156 2023791 2575734 2698388 4047582 4722179 5151468 8095164 9444358 14166537 18888716 28333074 56666148