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56705766 = 23131983461
BaseRepresentation
bin1101100001010…
…0001011100110
310221200221200120
43120110023212
5104004041031
65343222410
71255663635
oct330241346
9127627616
1056705766
112a010977
1216ba7a06
13b995710
14776151c
154ea1a96
hex36142e6

56705766 has 64 divisors (see below), whose sum is σ = 130394880. Its totient is φ = 16295040.

The previous prime is 56705749. The next prime is 56705771. The reversal of 56705766 is 66750765.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122776 + ... + 123236.

It is an arithmetic number, because the mean of its divisors is an integer number (2037420).

Almost surely, 256705766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56705766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65197440).

56705766 is an abundant number, since it is smaller than the sum of its proper divisors (73689114).

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

56705766 is a wasteful number, since it uses less digits than its factorization.

56705766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581.

The product of its (nonzero) digits is 264600, while the sum is 42.

The square root of 56705766 is about 7530.3231006378. The cubic root of 56705766 is about 384.1867716641.

The spelling of 56705766 in words is "fifty-six million, seven hundred five thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 83 114 166 247 249 461 494 498 741 922 1079 1383 1482 1577 2158 2766 3154 3237 4731 5993 6474 8759 9462 11986 17518 17979 20501 26277 35958 38263 41002 52554 61503 76526 113867 114789 123006 227734 229578 341601 497419 683202 726997 994838 1453994 1492257 2180991 2984514 4361982 9450961 18901922 28352883 56705766