Search a number
-
+
53868 = 223672
BaseRepresentation
bin1101001001101100
32201220010
431021230
53210433
61053220
7313023
oct151154
981803
1053868
1137521
1227210
131b699
14158ba
1510e63
hexd26c

53868 has 18 divisors (see below), whose sum is σ = 127596. Its totient is φ = 17688.

The previous prime is 53861. The next prime is 53881. The reversal of 53868 is 86835.

53868 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×538682 = 5803522848, which contains 22 as substring.

Its product of digits (5760) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (53861) by changing a digit.

53868 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 5 ways as a sum of consecutive naturals, for example, 771 + ... + 837.

253868 is an apocalyptic number.

It is an amenable number.

53868 is an abundant number, since it is smaller than the sum of its proper divisors (73728).

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 (63798).

53868 is a wasteful number, since it uses less digits than its factorization.

53868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 72 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 53868 is about 232.0948082142. The cubic root of 53868 is about 37.7668082979.

It can be divided in two parts, 538 and 68, that added together give a palindrome (606).

The spelling of 53868 in words is "fifty-three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 67 134 201 268 402 804 4489 8978 13467 17956 26934 53868