Search a number
-
+
57639105 = 3251280869
BaseRepresentation
bin1101101111100…
…0000011000001
311000110100222200
43123320003001
5104223422410
65415223413
71266632016
oct333700301
9130410880
1057639105
112a599127
1217377b69
13bc314a4
14792570d
1550d83c0
hex36f80c1

57639105 has 12 divisors (see below), whose sum is σ = 99907860. Its totient is φ = 30740832.

The previous prime is 57639089. The next prime is 57639107. The reversal of 57639105 is 50193675.

It is a happy number.

57639105 is a `hidden beast` number, since 5 + 7 + 639 + 10 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43441281 + 14197824 = 6591^2 + 3768^2 .

It is not a de Polignac number, because 57639105 - 24 = 57639089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57639105.

It is not an unprimeable number, because it can be changed into a prime (57639107) 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, 640390 + ... + 640479.

It is an arithmetic number, because the mean of its divisors is an integer number (8325655).

Almost surely, 257639105 is an apocalyptic number.

It is an amenable number.

57639105 is a deficient number, since it is larger than the sum of its proper divisors (42268755).

57639105 is a wasteful number, since it uses less digits than its factorization.

57639105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280880 (or 1280877 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 57639105 is about 7592.0422153726. The cubic root of 57639105 is about 386.2831309753.

The spelling of 57639105 in words is "fifty-seven million, six hundred thirty-nine thousand, one hundred five".

Divisors: 1 3 5 9 15 45 1280869 3842607 6404345 11527821 19213035 57639105