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56666064 = 24371312973
BaseRepresentation
bin1101100000101…
…0011111010000
310221121221020010
43120022133100
5104001303224
65342314520
71255440120
oct330123720
9127557203
1056666064
1129a94064
1216b88a40
13b980620
147750c80
154e94e29
hex360a7d0

56666064 has 80 divisors (see below), whose sum is σ = 180182912. Its totient is φ = 14943744.

The previous prime is 56666053. The next prime is 56666081. The reversal of 56666064 is 46066665.

It is a super-2 number, since 2×566660642 = 6422085618504192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2119 + ... + 10854.

Almost surely, 256666064 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 56666064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90091456).

56666064 is an abundant number, since it is smaller than the sum of its proper divisors (123516848).

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

56666064 is a wasteful number, since it uses less digits than its factorization.

56666064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13004 (or 12998 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 56666064 is about 7527.6864971916. The cubic root of 56666064 is about 384.0970891655.

The spelling of 56666064 in words is "fifty-six million, six hundred sixty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 12973 25946 38919 51892 77838 90811 103784 155676 168649 181622 207568 272433 311352 337298 363244 505947 544866 622704 674596 726488 1011894 1089732 1180543 1349192 1452976 2023788 2179464 2361086 2698384 3541629 4047576 4358928 4722172 7083258 8095152 9444344 14166516 18888688 28333032 56666064