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52928384 = 271972099
BaseRepresentation
bin1100100111100…
…1111110000000
310200121001002112
43021321332000
5102022202014
65130234452
71211612105
oct311717600
9120531075
1052928384
1127970973
1215885a28
13ac72292
14705aaac
1549a773e
hex3279f80

52928384 has 32 divisors (see below), whose sum is σ = 106029000. Its totient is φ = 26317312.

The previous prime is 52928383. The next prime is 52928387. The reversal of 52928384 is 48382925.

52928384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52928383) 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 3 ways as a sum of consecutive naturals, for example, 24167 + ... + 26265.

Almost surely, 252928384 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 52928384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53014500).

52928384 is an abundant number, since it is smaller than the sum of its proper divisors (53100616).

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

52928384 is a wasteful number, since it uses less digits than its factorization.

52928384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2298 counting only the distinct ones).

The product of its digits is 138240, while the sum is 41.

The square root of 52928384 is about 7275.1896195220. The cubic root of 52928384 is about 375.4593103794.

The spelling of 52928384 in words is "fifty-two million, nine hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 197 394 788 1576 2099 3152 4198 6304 8396 12608 16792 25216 33584 67168 134336 268672 413503 827006 1654012 3308024 6616048 13232096 26464192 52928384