Search a number
-
+
57936801 = 3131485559
BaseRepresentation
bin1101110100000…
…0101110100001
311001000111100110
43131000232201
5104312434201
65425441533
71302311646
oct335005641
9131014313
1057936801
112a78185a
12174a02a9
13c006b40
1479a1dcd
1551466d6
hex3740ba1

57936801 has 8 divisors (see below), whose sum is σ = 83191360. Its totient is φ = 35653392.

The previous prime is 57936797. The next prime is 57936803. The reversal of 57936801 is 10863975.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 57936801 - 22 = 57936797 is a prime.

It is a super-2 number, since 2×579368012 = 6713345820227202, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 1485559 = 57936801 / (5 + 7 + 9 + 3 + 6 + 8 + 0 + 1).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 57936801.

It is not an unprimeable number, because it can be changed into a prime (57936803) 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, 742741 + ... + 742818.

It is an arithmetic number, because the mean of its divisors is an integer number (10398920).

Almost surely, 257936801 is an apocalyptic number.

It is an amenable number.

57936801 is a deficient number, since it is larger than the sum of its proper divisors (25254559).

57936801 is a wasteful number, since it uses less digits than its factorization.

57936801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485575.

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

The square root of 57936801 is about 7611.6227573363. The cubic root of 57936801 is about 386.9470178321.

The spelling of 57936801 in words is "fifty-seven million, nine hundred thirty-six thousand, eight hundred one".

Divisors: 1 3 13 39 1485559 4456677 19312267 57936801