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52833825 = 32521121347
BaseRepresentation
bin1100100110001…
…0111000100001
310200102020101100
43021202320201
5102011140300
65124225013
71211036322
oct311427041
9120366340
1052833825
1127906920
121583b169
13ac3b225
147034449
154989700
hex3262e21

52833825 has 36 divisors (see below), whose sum is σ = 103238928. Its totient is φ = 25615200.

The previous prime is 52833821. The next prime is 52833839.

52833825 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52833825 - 22 = 52833821 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 52833825.

It is not an unprimeable number, because it can be changed into a prime (52833821) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 8199 + ... + 13148.

It is an arithmetic number, because the mean of its divisors is an integer number (2867748).

Almost surely, 252833825 is an apocalyptic number.

52833825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52833825 is a deficient number, since it is larger than the sum of its proper divisors (50405103).

52833825 is a wasteful number, since it uses less digits than its factorization.

52833825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21374 (or 21366 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 52833825 is about 7268.6879833984. The cubic root of 52833825 is about 375.2355853012.

The spelling of 52833825 in words is "fifty-two million, eight hundred thirty-three thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 165 225 275 495 825 2475 21347 64041 106735 192123 234817 320205 533675 704451 960615 1174085 1601025 2113353 3522255 4803075 5870425 10566765 17611275 52833825