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52258932 = 22341123143
BaseRepresentation
bin1100011101011…
…0100001110100
310122100000210000
43013112201310
5101334241212
65104031300
71203123255
oct307264164
9118300700
1052258932
1127553a00
1215602530
13aa9965b
146d24b2c
1548c41dc
hex31d6874

52258932 has 180 divisors, whose sum is σ = 158612608. Its totient is φ = 14968800.

The previous prime is 52258903. The next prime is 52258939. The reversal of 52258932 is 23985225.

52258932 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 (36).

Its product of digits (43200) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52258939) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 1215303 + ... + 1215345.

Almost surely, 252258932 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 52258932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79306304).

52258932 is an abundant number, since it is smaller than the sum of its proper divisors (106353676).

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

52258932 is a wasteful number, since it uses less digits than its factorization.

52258932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 90 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 52258932 is about 7229.0339603574. The cubic root of 52258932 is about 373.8696200669.

The spelling of 52258932 in words is "fifty-two million, two hundred fifty-eight thousand, nine hundred thirty-two".