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53424 = 2432753
BaseRepresentation
bin1101000010110000
32201021200
431002300
53202144
61051200
7311520
oct150260
981250
1053424
1137158
1226b00
131b417
1415680
1510c69
hexd0b0

53424 has 60 divisors (see below), whose sum is σ = 174096. Its totient is φ = 14976.

The previous prime is 53419. The next prime is 53437. The reversal of 53424 is 42435.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 53397 and 53406.

It is a congruent number.

It is an unprimeable number.

53424 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 11 ways as a sum of consecutive naturals, for example, 982 + ... + 1034.

253424 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 53424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87048).

53424 is an abundant number, since it is smaller than the sum of its proper divisors (120672).

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

53424 is a wasteful number, since it uses less digits than its factorization.

53424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 65 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 53424 is about 231.1363234111. The cubic root of 53424 is about 37.6627592295.

Adding to 53424 its reverse (42435), we get a palindrome (95859).

The spelling of 53424 in words is "fifty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 53 56 63 72 84 106 112 126 144 159 168 212 252 318 336 371 424 477 504 636 742 848 954 1008 1113 1272 1484 1908 2226 2544 2968 3339 3816 4452 5936 6678 7632 8904 13356 17808 26712 53424