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57260052 = 22329531669
BaseRepresentation
bin1101101001101…
…1100000010100
310222202010000200
43122123200110
5104124310202
65403140500
71263462633
oct332334024
9128663020
1057260052
112a35a363
1217214730
13bb2aab5
14786751a
155060e1c
hex369b814

57260052 has 36 divisors (see below), whose sum is σ = 144979380. Its totient is φ = 19055232.

The previous prime is 57260051. The next prime is 57260057. The reversal of 57260052 is 25006275.

57260052 is a `hidden beast` number, since 5 + 7 + 2 + 600 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27185796 + 30074256 = 5214^2 + 5484^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 57259998 and 57260025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57260051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33474 + ... + 35142.

It is an arithmetic number, because the mean of its divisors is an integer number (4027205).

Almost surely, 257260052 is an apocalyptic number.

It is an amenable number.

57260052 is an abundant number, since it is smaller than the sum of its proper divisors (87719328).

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

57260052 is a wasteful number, since it uses less digits than its factorization.

57260052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 57260052 is about 7567.0372009129. The cubic root of 57260052 is about 385.4344945650.

The spelling of 57260052 in words is "fifty-seven million, two hundred sixty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 953 1669 1906 2859 3338 3812 5007 5718 6676 8577 10014 11436 15021 17154 20028 30042 34308 60084 1590557 3181114 4771671 6362228 9543342 14315013 19086684 28630026 57260052