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55632252 = 223132271571
BaseRepresentation
bin1101010000111…
…0000101111100
310212200102002210
43110032011330
5103220213002
65304220420
71243603104
oct324160574
9125612083
1055632252
1129448375
121676a710
13b6aabc0
147562204
154d3d96c
hex350e17c

55632252 has 48 divisors (see below), whose sum is σ = 140499072. Its totient is φ = 17031360.

The previous prime is 55632233. The next prime is 55632277. The reversal of 55632252 is 25223655.

55632252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34627 + ... + 36197.

It is an arithmetic number, because the mean of its divisors is an integer number (2927064).

Almost surely, 255632252 is an apocalyptic number.

55632252 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 55632252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70249536).

55632252 is an abundant number, since it is smaller than the sum of its proper divisors (84866820).

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

55632252 is a wasteful number, since it uses less digits than its factorization.

55632252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1816 counting only the distinct ones).

The product of its digits is 18000, while the sum is 30.

The square root of 55632252 is about 7458.7031044277. The cubic root of 55632252 is about 381.7469244677.

The spelling of 55632252 in words is "fifty-five million, six hundred thirty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 227 454 681 908 1362 1571 2724 2951 3142 4713 5902 6284 8853 9426 11804 17706 18852 20423 35412 40846 61269 81692 122538 245076 356617 713234 1069851 1426468 2139702 4279404 4636021 9272042 13908063 18544084 27816126 55632252