Search a number
-
+
57954 = 2313743
BaseRepresentation
bin1110001001100010
32221111110
432021202
53323304
61124150
7330651
oct161142
987443
1057954
113a5a6
1229656
13204c0
1417198
1512289
hexe262

57954 has 16 divisors (see below), whose sum is σ = 124992. Its totient is φ = 17808.

The previous prime is 57947. The next prime is 57973. The reversal of 57954 is 45975.

It is a super-2 number, since 2×579542 = 6717332232, which contains 22 as substring.

It is a plaindrome in base 15.

It is a nialpdrome in base 3 and base 9.

It is an unprimeable number.

57954 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 294 + ... + 449.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

257954 is an apocalyptic number.

57954 is an abundant number, since it is smaller than the sum of its proper divisors (67038).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496).

57954 is a wasteful number, since it uses less digits than its factorization.

57954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761.

The product of its digits is 6300, while the sum is 30.

The square root of 57954 is about 240.7363703307. The cubic root of 57954 is about 38.6985303477.

The spelling of 57954 in words is "fifty-seven thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 13 26 39 78 743 1486 2229 4458 9659 19318 28977 57954