Search a number
-
+
53124032 = 261367953
BaseRepresentation
bin1100101010100…
…1101111000000
310200221222110202
43022221233000
5102044432112
65134344332
71213355363
oct312515700
9120858422
1053124032
1127a94965
121595b0a8
13b010350
1470ac0da
1549e56c2
hex32a9bc0

53124032 has 56 divisors (see below), whose sum is σ = 115342416. Its totient is φ = 24127488.

The previous prime is 53124023. The next prime is 53124047. The reversal of 53124032 is 23042135.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 53123995 and 53124013.

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, 55268 + ... + 56220.

It is an arithmetic number, because the mean of its divisors is an integer number (2059686).

Almost surely, 253124032 is an apocalyptic number.

53124032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53124032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57671208).

53124032 is an abundant number, since it is smaller than the sum of its proper divisors (62218384).

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

53124032 is a wasteful number, since it uses less digits than its factorization.

53124032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 53124032 is about 7288.6234640020. The cubic root of 53124032 is about 375.9213657803.

Adding to 53124032 its reverse (23042135), we get a palindrome (76166167).

The spelling of 53124032 in words is "fifty-three million, one hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 104 134 208 268 416 536 832 871 953 1072 1742 1906 2144 3484 3812 4288 6968 7624 12389 13936 15248 24778 27872 30496 49556 55744 60992 63851 99112 127702 198224 255404 396448 510808 792896 830063 1021616 1660126 2043232 3320252 4086464 6640504 13281008 26562016 53124032