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57648 = 2431201
BaseRepresentation
bin1110000100110000
32221002010
432010300
53321043
61122520
7330033
oct160460
987063
1057648
113a348
1229440
1320316
141701a
1512133
hexe130

57648 has 20 divisors (see below), whose sum is σ = 149048. Its totient is φ = 19200.

The previous prime is 57641. The next prime is 57649. The reversal of 57648 is 84675.

It is a happy number.

57648 is nontrivially palindromic in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 57648.

It is not an unprimeable number, because it can be changed into a prime (57641) by changing a digit.

57648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 553 + ... + 648.

257648 is an apocalyptic number.

It is an amenable number.

57648 is an abundant number, since it is smaller than the sum of its proper divisors (91400).

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 (74524).

57648 is a wasteful number, since it uses less digits than its factorization.

57648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1206 counting only the distinct ones).

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

The square root of 57648 is about 240.0999791753. The cubic root of 57648 is about 38.6303000655.

The spelling of 57648 in words is "fifty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 1201 2402 3603 4804 7206 9608 14412 19216 28824 57648