Search a number
-
+
57074576 = 24131716141
BaseRepresentation
bin1101100110111…
…0001110010000
310222101200121012
43121232032100
5104102341301
65355150052
71262061116
oct331561620
9128350535
1057074576
112a242a79
1217145328
13ba94550
147819ab6
155025ebb
hex366e390

57074576 has 40 divisors (see below), whose sum is σ = 126101304. Its totient is φ = 24791040.

The previous prime is 57074551. The next prime is 57074617. The reversal of 57074576 is 67547075.

57074576 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 4946176 + 52128400 = 2224^2 + 7220^2 .

It is an unprimeable number.

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, 4535 + ... + 11606.

Almost surely, 257074576 is an apocalyptic number.

It is an amenable number.

57074576 is an abundant number, since it is smaller than the sum of its proper divisors (69026728).

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

57074576 is a wasteful number, since it uses less digits than its factorization.

57074576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16179 (or 16173 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 41.

The square root of 57074576 is about 7554.7717371209. The cubic root of 57074576 is about 385.0178796441.

The spelling of 57074576 in words is "fifty-seven million, seventy-four thousand, five hundred seventy-six".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 16141 32282 64564 129128 209833 258256 274397 419666 548794 839332 1097588 1678664 2195176 3357328 3567161 4390352 7134322 14268644 28537288 57074576