Search a number
-
+
57666768 = 2437116921
BaseRepresentation
bin1101101111111…
…0110011010000
311000111202221020
43123332303100
5104230314033
65415555440
71300105455
oct333766320
9130452836
1057666768
112a607995
121738bb80
13bc40c63
14793182c
1550e16b3
hex36fecd0

57666768 has 40 divisors (see below), whose sum is σ = 151079616. Its totient is φ = 18950400.

The previous prime is 57666733. The next prime is 57666769. The reversal of 57666768 is 86766675.

It is a happy number.

It is a super-2 number, since 2×576667682 = 6650912263131648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57666768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57666769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5053 + ... + 11868.

Almost surely, 257666768 is an apocalyptic number.

It is an amenable number.

57666768 is an abundant number, since it is smaller than the sum of its proper divisors (93412848).

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

57666768 is a wasteful number, since it uses less digits than its factorization.

57666768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17003 (or 16997 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The square root of 57666768 is about 7593.8638386529. The cubic root of 57666768 is about 386.3449179699.

The spelling of 57666768 in words is "fifty-seven million, six hundred sixty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408 16921 33842 50763 67684 101526 135368 203052 270736 406104 812208 1201391 2402782 3604173 4805564 7208346 9611128 14416692 19222256 28833384 57666768