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52880256 = 27331113107
BaseRepresentation
bin1100100110111…
…0001110000000
310200111121002000
43021232032000
5102014132011
65125224000
71211321562
oct311561600
9120447060
1052880256
11279387a0
1215862000
13ac563c0
147047332
154998356
hex326e380

52880256 has 256 divisors, whose sum is σ = 185068800. Its totient is φ = 14653440.

The previous prime is 52880237. The next prime is 52880299. The reversal of 52880256 is 65208825.

52880256 is a `hidden beast` number, since 528 + 80 + 2 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 52880256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494155 + ... + 494261.

It is an arithmetic number, because the mean of its divisors is an integer number (722925).

Almost surely, 252880256 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 52880256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92534400).

52880256 is an abundant number, since it is smaller than the sum of its proper divisors (132188544).

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

52880256 is a wasteful number, since it uses less digits than its factorization.

52880256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 52880256 is about 7271.8811871482. The cubic root of 52880256 is about 375.3454736302.

The spelling of 52880256 in words is "fifty-two million, eight hundred eighty thousand, two hundred fifty-six".