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53504 = 281119
BaseRepresentation
bin1101000100000000
32201101122
431010000
53203004
61051412
7311663
oct150400
981348
1053504
1137220
1226b68
131b479
14156da
1510cbe
hexd100

53504 has 36 divisors (see below), whose sum is σ = 122640. Its totient is φ = 23040.

The previous prime is 53503. The next prime is 53507. The reversal of 53504 is 40535.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (53503) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2807 + ... + 2825.

253504 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 53504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61320).

53504 is an abundant number, since it is smaller than the sum of its proper divisors (69136).

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

53504 is a wasteful number, since it uses less digits than its factorization.

53504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 53504 is about 231.3093167168. The cubic root of 53504 is about 37.6815492742.

The spelling of 53504 in words is "fifty-three thousand, five hundred four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 608 704 836 1216 1408 1672 2432 2816 3344 4864 6688 13376 26752 53504