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45657 = 331989
BaseRepresentation
bin1011001001011001
32022122000
423021121
52430112
6551213
7250053
oct131131
968560
1045657
1131337
1222509
1317a21
14128d3
15d7dc
hexb259

45657 has 16 divisors (see below), whose sum is σ = 72000. Its totient is φ = 28512.

The previous prime is 45641. The next prime is 45659. The reversal of 45657 is 75654.

45657 is a `hidden beast` number, since 4 + 5 + 657 = 666.

45657 is nontrivially palindromic in base 8.

45657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45657 - 24 = 45641 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 45657.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45659) 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, 469 + ... + 557.

It is an arithmetic number, because the mean of its divisors is an integer number (4500).

245657 is an apocalyptic number.

It is an amenable number.

45657 is a deficient number, since it is larger than the sum of its proper divisors (26343).

45657 is a wasteful number, since it uses less digits than its factorization.

45657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 111 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 45657 is about 213.6749868375. The cubic root of 45657 is about 35.7411995225.

The spelling of 45657 in words is "forty-five thousand, six hundred fifty-seven".

Divisors: 1 3 9 19 27 57 89 171 267 513 801 1691 2403 5073 15219 45657