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57320041 = 6721132
BaseRepresentation
bin1101101010101…
…0001001101001
310222212011022111
43122222021221
5104133220131
65404322321
71264132552
oct332521151
9128764274
1057320041
112a3a0439
12172433a1
13bb4c1ac
147881329
155073ab1
hex36aa269

57320041 has 9 divisors (see below), whose sum is σ = 58707831. Its totient is φ = 55964832.

The previous prime is 57320033. The next prime is 57320059. The reversal of 57320041 is 14002375.

The square root of 57320041 is 7571.

It is a perfect power (a square), and thus also a powerful number.

57320041 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., 1010025 + 56310016 = 1005^2 + 7504^2 .

It is not a de Polignac number, because 57320041 - 23 = 57320033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 57319994 and 57320021.

It is not an unprimeable number, because it can be changed into a prime (57321041) by changing a digit.

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, 507201 + ... + 507313.

Almost surely, 257320041 is an apocalyptic number.

57320041 is the 7571-st square number.

57320041 is the 3786-th centered octagonal number.

It is an amenable number.

57320041 is a deficient number, since it is larger than the sum of its proper divisors (1387790).

57320041 is an frugal number, since it uses more digits than its factorization.

57320041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The cubic root of 57320041 is about 385.5690488729.

The spelling of 57320041 in words is "fifty-seven million, three hundred twenty thousand, forty-one".

Divisors: 1 67 113 4489 7571 12769 507257 855523 57320041