Search a number
-
+
57656704 = 277229281
BaseRepresentation
bin1101101111110…
…0010110000000
311000111021010111
43123330112000
5104230003304
65415441104
71300034230
oct333742600
9130437114
1057656704
112a600376
1217386194
13bc394c1
14792bcc0
1550dd704
hex36fc580

57656704 has 64 divisors (see below), whose sum is σ = 132314400. Its totient is φ = 24514560.

The previous prime is 57656689. The next prime is 57656717. The reversal of 57656704 is 40765675.

It is a happy number.

57656704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×576567042 = 6648591032287232, which contains 22 as substring.

It is a congruent number.

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, 205044 + ... + 205324.

Almost surely, 257656704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57656704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66157200).

57656704 is an abundant number, since it is smaller than the sum of its proper divisors (74657696).

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

57656704 is a wasteful number, since it uses less digits than its factorization.

57656704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The square root of 57656704 is about 7593.2011694673. The cubic root of 57656704 is about 386.3224417004.

The spelling of 57656704 in words is "fifty-seven million, six hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 229 281 448 458 562 896 916 1124 1603 1832 1967 2248 3206 3664 3934 4496 6412 7328 7868 8992 12824 14656 15736 17984 25648 29312 31472 35968 51296 62944 64349 102592 125888 128698 205184 251776 257396 450443 514792 900886 1029584 1801772 2059168 3603544 4118336 7207088 8236672 14414176 28828352 57656704