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57480642 = 23217872
BaseRepresentation
bin1101101101000…
…1010111000010
311000011022121200
43123101113002
5104203340032
65412002030
71265402022
oct333212702
9130138550
1057480642
112a4a006a
1217300316
13bba731b
1478c3a82
1550a647c
hex36d15c2

57480642 has 18 divisors (see below), whose sum is σ = 124611123. Its totient is φ = 19149492.

The previous prime is 57480629. The next prime is 57480743. The reversal of 57480642 is 24608475.

57480642 is a `hidden beast` number, since 5 + 7 + 4 + 8 + 0 + 642 = 666.

57480642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 28740321 + 28740321 = 5361^2 + 5361^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5361.

It is a junction number, because it is equal to n+sod(n) for n = 57480597 and 57480606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31273 + ... + 33059.

Almost surely, 257480642 is an apocalyptic number.

57480642 is an abundant number, since it is smaller than the sum of its proper divisors (67130481).

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

57480642 is an equidigital number, since it uses as much as digits as its factorization.

57480642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 57480642 is about 7581.5989078822. The cubic root of 57480642 is about 385.9288127020.

The spelling of 57480642 in words is "fifty-seven million, four hundred eighty thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 1787 3574 5361 10722 16083 32166 3193369 6386738 9580107 19160214 28740321 57480642