Search a number
-
+
53676 = 2233771
BaseRepresentation
bin1101000110101100
32201122000
431012230
53204201
61052300
7312330
oct150654
981560
1053676
1137367
1227090
131b57c
14157c0
1510d86
hexd1ac

53676 has 48 divisors (see below), whose sum is σ = 161280. Its totient is φ = 15120.

The previous prime is 53657. The next prime is 53681. The reversal of 53676 is 67635.

53676 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 2×536762 = 5762225952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an unprimeable number.

53676 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 15 ways as a sum of consecutive naturals, for example, 721 + ... + 791.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

253676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640).

53676 is an abundant number, since it is smaller than the sum of its proper divisors (107604).

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

53676 is a wasteful number, since it uses less digits than its factorization.

53676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 83 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 53676 is about 231.6808149157. The cubic root of 53676 is about 37.7218845373.

It can be divided in two parts, 53 and 676, that added together give a 6-th power (729 = 36).

The spelling of 53676 in words is "fifty-three thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 71 84 108 126 142 189 213 252 284 378 426 497 639 756 852 994 1278 1491 1917 1988 2556 2982 3834 4473 5964 7668 8946 13419 17892 26838 53676