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57977345 = 528334093
BaseRepresentation
bin1101110100101…
…0101000000001
311001002112222002
43131022220001
5104320233340
65430353345
71302541106
oct335125001
9131075862
1057977345
112a7aa268
12174bb855
13c01c42a
1479b2aad
155153715
hex374aa01

57977345 has 8 divisors (see below), whose sum is σ = 69614376. Its totient is φ = 46354176.

The previous prime is 57977329. The next prime is 57977357. The reversal of 57977345 is 54377975.

It can be written as a sum of positive squares in 4 ways, for example, as 2876416 + 55100929 = 1696^2 + 7423^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 57977345 - 24 = 57977329 is a prime.

It is a super-2 number, since 2×579773452 = 6722745066498050, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 57977345.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12119 + ... + 16211.

It is an arithmetic number, because the mean of its divisors is an integer number (8701797).

Almost surely, 257977345 is an apocalyptic number.

It is an amenable number.

57977345 is a deficient number, since it is larger than the sum of its proper divisors (11637031).

57977345 is a wasteful number, since it uses less digits than its factorization.

57977345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6931.

The product of its digits is 926100, while the sum is 47.

The square root of 57977345 is about 7614.2855869740. The cubic root of 57977345 is about 387.0372582405.

The spelling of 57977345 in words is "fifty-seven million, nine hundred seventy-seven thousand, three hundred forty-five".

Divisors: 1 5 2833 4093 14165 20465 11595469 57977345