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63936 = 263337
BaseRepresentation
bin1111100111000000
310020201000
433213000
54021221
61212000
7354255
oct174700
9106630
1063936
1144044
1231000
1323142
141942c
1513e26
hexf9c0

63936 has 56 divisors (see below), whose sum is σ = 193040. Its totient is φ = 20736.

The previous prime is 63929. The next prime is 63949.

63936 is nontrivially palindromic in base 10 and base 11.

63936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1710 + ... + 1746.

263936 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 63936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96520).

63936 is an abundant number, since it is smaller than the sum of its proper divisors (129104).

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

63936 is a wasteful number, since it uses less digits than its factorization.

63936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 42 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 63936 is about 252.8556900685. The cubic root of 63936 is about 39.9866622198.

It can be divided in two parts, 63 and 936, that added together give a palindrome (999).

The spelling of 63936 in words is "sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 144 148 192 216 222 288 296 333 432 444 576 592 666 864 888 999 1184 1332 1728 1776 1998 2368 2664 3552 3996 5328 7104 7992 10656 15984 21312 31968 63936