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56601765 = 32511293943
BaseRepresentation
bin1101011111101…
…0110010100101
310221111200000200
43113322302211
5103442224030
65341101113
71255051503
oct327726245
9127450020
1056601765
1129a4a820
1216b57799
13b95a28c
147735673
154e80d60
hex35faca5

56601765 has 48 divisors (see below), whose sum is σ = 110747520. Its totient is φ = 26490240.

The previous prime is 56601763. The next prime is 56601793. The reversal of 56601765 is 56710665.

It is a happy number.

It is not a de Polignac number, because 56601765 - 21 = 56601763 is a prime.

It is a super-2 number, since 2×566017652 = 6407519602230450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56601761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12384 + ... + 16326.

It is an arithmetic number, because the mean of its divisors is an integer number (2307240).

Almost surely, 256601765 is an apocalyptic number.

56601765 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56601765 is a deficient number, since it is larger than the sum of its proper divisors (54145755).

56601765 is a wasteful number, since it uses less digits than its factorization.

56601765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3994 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 56601765 is about 7523.4144508993. The cubic root of 56601765 is about 383.9517558206.

Subtracting 56601765 from its reverse (56710665), we obtain a square (108900 = 3302).

The spelling of 56601765 in words is "fifty-six million, six hundred one thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 11 15 29 33 45 55 87 99 145 165 261 319 435 495 957 1305 1595 2871 3943 4785 11829 14355 19715 35487 43373 59145 114347 130119 177435 216865 343041 390357 571735 650595 1029123 1257817 1715205 1951785 3773451 5145615 6289085 11320353 18867255 56601765