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52753204 = 2272299281
BaseRepresentation
bin1100100100111…
…1001100110100
310200021010210101
43021033030310
5102001100304
65122403444
71210252300
oct311171464
9120233711
1052753204
1127861299
1215800584
13ac1061a
147012d00
1549708a4
hex324f334

52753204 has 36 divisors (see below), whose sum is σ = 111105540. Its totient is φ = 21826560.

The previous prime is 52753199. The next prime is 52753241. The reversal of 52753204 is 40235725.

52753204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 38464804 + 14288400 = 6202^2 + 3780^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

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 11 ways as a sum of consecutive naturals, for example, 1044 + ... + 10324.

It is an arithmetic number, because the mean of its divisors is an integer number (3086265).

Almost surely, 252753204 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 52753204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55552770).

52753204 is an abundant number, since it is smaller than the sum of its proper divisors (58352336).

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

52753204 is a wasteful number, since it uses less digits than its factorization.

52753204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9328 (or 9319 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 52753204 is about 7263.1400922741. The cubic root of 52753204 is about 375.0446263928.

Adding to 52753204 its reverse (40235725), we get a palindrome (92988929).

The spelling of 52753204 in words is "fifty-two million, seven hundred fifty-three thousand, two hundred four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 812 1421 2842 5684 9281 18562 37124 64967 129934 259868 269149 454769 538298 909538 1076596 1819076 1884043 3768086 7536172 13188301 26376602 52753204