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57357073 = 4110131381
BaseRepresentation
bin1101101011001…
…1001100010001
310222221001010001
43122303030101
5104140411243
65405210001
71264345534
oct332631421
9128831101
1057357073
112a416244
1217260901
13bb62cc7
147890a1b
15507ea4d
hex36b3311

57357073 has 8 divisors (see below), whose sum is σ = 58856616. Its totient is φ = 55862400.

The previous prime is 57357059. The next prime is 57357089. The reversal of 57357073 is 37075375.

57357073 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 4 ways, for example, as 4460544 + 52896529 = 2112^2 + 7273^2 .

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 57357073 - 213 = 57348881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57357023) 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 7 ways as a sum of consecutive naturals, for example, 40843 + ... + 42223.

It is an arithmetic number, because the mean of its divisors is an integer number (7357077).

Almost surely, 257357073 is an apocalyptic number.

It is an amenable number.

57357073 is a deficient number, since it is larger than the sum of its proper divisors (1499543).

57357073 is a wasteful number, since it uses less digits than its factorization.

57357073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435.

The product of its (nonzero) digits is 77175, while the sum is 37.

The square root of 57357073 is about 7573.4452529876. The cubic root of 57357073 is about 385.6520641614.

The spelling of 57357073 in words is "fifty-seven million, three hundred fifty-seven thousand, seventy-three".

Divisors: 1 41 1013 1381 41533 56621 1398953 57357073