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52846304 = 257233703
BaseRepresentation
bin1100100110010…
…1111011100000
310200102212111112
43021211323200
5102012040204
65124402452
71211120600
oct311457340
9120385445
1052846304
1127915235
1215846428
13ac43b04
147038c00
15498d26e
hex3265ee0

52846304 has 36 divisors (see below), whose sum is σ = 121031064. Its totient is φ = 22647744.

The previous prime is 52846301. The next prime is 52846333. The reversal of 52846304 is 40364825.

52846304 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 (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52846301) 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 5 ways as a sum of consecutive naturals, for example, 15284 + ... + 18419.

It is an arithmetic number, because the mean of its divisors is an integer number (3361974).

Almost surely, 252846304 is an apocalyptic number.

It is an amenable number.

52846304 is an abundant number, since it is smaller than the sum of its proper divisors (68184760).

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

52846304 is a wasteful number, since it uses less digits than its factorization.

52846304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33727 (or 33712 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 52846304 is about 7269.5463407286. The cubic root of 52846304 is about 375.2651256967.

The spelling of 52846304 in words is "fifty-two million, eight hundred forty-six thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 33703 67406 134812 235921 269624 471842 539248 943684 1078496 1651447 1887368 3302894 3774736 6605788 7549472 13211576 26423152 52846304