Search a number
-
+
57124992 = 273148763
BaseRepresentation
bin1101100111101…
…0100010000000
310222111020202110
43121322202000
5104110444432
65400215320
71262361111
oct331724200
9128436673
1057124992
112a277941
121716a540
13bab1492
147830208
155035dcc
hex367a880

57124992 has 32 divisors (see below), whose sum is σ = 151739280. Its totient is φ = 19041536.

The previous prime is 57124987. The next prime is 57124997. The reversal of 57124992 is 29942175.

It is an interprime number because it is at equal distance from previous prime (57124987) and next prime (57124997).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×571249922 = 6526529422000128, 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 57124992.

It is not an unprimeable number, because it can be changed into a prime (57124997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73998 + ... + 74765.

Almost surely, 257124992 is an apocalyptic number.

It is an amenable number.

57124992 is an abundant number, since it is smaller than the sum of its proper divisors (94614288).

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

57124992 is a wasteful number, since it uses less digits than its factorization.

57124992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148780 (or 148768 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 57124992 is about 7558.1076996825. The cubic root of 57124992 is about 385.1312129360.

The spelling of 57124992 in words is "fifty-seven million, one hundred twenty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 148763 297526 446289 595052 892578 1190104 1785156 2380208 3570312 4760416 7140624 9520832 14281248 19041664 28562496 57124992