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5268352 = 2779521
BaseRepresentation
bin10100000110001110000000
3100220122211011
4110012032000
52322041402
6304530304
762531425
oct24061600
910818734
105268352
112a79211
121920994
131125c8b
149b1d4c
156e0ed7
hex506380

5268352 has 32 divisors (see below), whose sum is σ = 10648800. Its totient is φ = 2595840.

The previous prime is 5268299. The next prime is 5268397. The reversal of 5268352 is 2538625.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 9852 + ... + 10372.

It is an arithmetic number, because the mean of its divisors is an integer number (332775).

Almost surely, 25268352 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 5268352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5324400).

5268352 is an abundant number, since it is smaller than the sum of its proper divisors (5380448).

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

5268352 is an equidigital number, since it uses as much as digits as its factorization.

5268352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 602 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 5268352 is about 2295.2890885464. The cubic root of 5268352 is about 174.0036111463.

The spelling of 5268352 in words is "five million, two hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 79 128 158 316 521 632 1042 1264 2084 2528 4168 5056 8336 10112 16672 33344 41159 66688 82318 164636 329272 658544 1317088 2634176 5268352