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52804512 = 2532183349
BaseRepresentation
bin1100100101101…
…1101110100000
310200100202011200
43021123232200
5102004221022
65123441200
71210555005
oct311335640
9120322150
1052804512
11278968a2
1215826200
13ac2aa97
1470278ac
154980bac
hex325bba0

52804512 has 36 divisors (see below), whose sum is σ = 150163650. Its totient is φ = 17601408.

The previous prime is 52804511. The next prime is 52804519. The reversal of 52804512 is 21540825.

It is a happy number.

52804512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 45643536 + 7160976 = 6756^2 + 2676^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (52804511) 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, 91387 + ... + 91962.

Almost surely, 252804512 is an apocalyptic number.

It is an amenable number.

52804512 is an abundant number, since it is smaller than the sum of its proper divisors (97359138).

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

52804512 is a wasteful number, since it uses less digits than its factorization.

52804512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183365 (or 183354 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 52804512 is about 7266.6713149832. The cubic root of 52804512 is about 375.1661770163.

The spelling of 52804512 in words is "fifty-two million, eight hundred four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 183349 366698 550047 733396 1100094 1466792 1650141 2200188 2933584 3300282 4400376 5867168 6600564 8800752 13201128 17601504 26402256 52804512