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57078025 = 5215112
BaseRepresentation
bin1101100110111…
…1000100001001
310222101212022221
43121233010021
5104102444100
65355214041
71262104144
oct331570411
9128355287
1057078025
112a245624
1217147321
13ba95ca4
14781b05b
15502701a
hex366f109

57078025 has 9 divisors (see below), whose sum is σ = 70823623. Its totient is φ = 45632200.

The previous prime is 57078023. The next prime is 57078059. The reversal of 57078025 is 52087075.

The square root of 57078025 is 7555.

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

57078025 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., 20548089 + 36529936 = 4533^2 + 6044^2 .

It is not a de Polignac number, because 57078025 - 21 = 57078023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57078023) 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, 37020 + ... + 38530.

Almost surely, 257078025 is an apocalyptic number.

57078025 is the 7555-th square number.

57078025 is the 3778-th centered octagonal number.

It is an amenable number.

57078025 is a deficient number, since it is larger than the sum of its proper divisors (13745598).

57078025 is an frugal number, since it uses more digits than its factorization.

57078025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 34.

The cubic root of 57078025 is about 385.0256349940.

Multiplying 57078025 by its product of nonzero digits (19600), we get a square (1118729290000 = 10577002).

The spelling of 57078025 in words is "fifty-seven million, seventy-eight thousand, twenty-five".

Divisors: 1 5 25 1511 7555 37775 2283121 11415605 57078025