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57486 = 23111367
BaseRepresentation
bin1110000010001110
32220212010
432002032
53314421
61122050
7326412
oct160216
986763
1057486
113a210
1229326
1320220
1416d42
1512076
hexe08e

57486 has 32 divisors (see below), whose sum is σ = 137088. Its totient is φ = 15840.

The previous prime is 57467. The next prime is 57487. The reversal of 57486 is 68475.

It is a happy number.

It is an Ulam number.

Its product of digits (6720) is a multiple of the sum of its prime divisors (96).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57487) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 825 + ... + 891.

It is an arithmetic number, because the mean of its divisors is an integer number (4284).

257486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68544).

57486 is an abundant number, since it is smaller than the sum of its proper divisors (79602).

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

57486 is a wasteful number, since it uses less digits than its factorization.

57486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96.

The product of its digits is 6720, while the sum is 30.

The square root of 57486 is about 239.7623823705. The cubic root of 57486 is about 38.5940803651.

The spelling of 57486 in words is "fifty-seven thousand, four hundred eighty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 67 78 134 143 201 286 402 429 737 858 871 1474 1742 2211 2613 4422 5226 9581 19162 28743 57486