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5252928 = 263109251
BaseRepresentation
bin10100000010011101000000
3100212212122220
4110002131000
52321043203
6304331040
762435442
oct24023500
910785586
105252928
112a6866a
121913a80
13111bc55
149aa492
156db653
hex502740

5252928 has 56 divisors (see below), whose sum is σ = 14081760. Its totient is φ = 1728000.

The previous prime is 5252921. The next prime is 5252939. The reversal of 5252928 is 8292525.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5252921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20803 + ... + 21053.

It is an arithmetic number, because the mean of its divisors is an integer number (251460).

Almost surely, 25252928 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 5252928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7040880).

5252928 is an abundant number, since it is smaller than the sum of its proper divisors (8828832).

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

5252928 is a wasteful number, since it uses less digits than its factorization.

5252928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 365 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 5252928 is about 2291.9267003986. The cubic root of 5252928 is about 173.8336367348.

The spelling of 5252928 in words is "five million, two hundred fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 192 218 251 327 436 502 654 753 872 1004 1308 1506 1744 2008 2616 3012 3488 4016 5232 6024 6976 8032 10464 12048 16064 20928 24096 27359 48192 54718 82077 109436 164154 218872 328308 437744 656616 875488 1313232 1750976 2626464 5252928