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252267633 = 3273383969
BaseRepresentation
bin11110000100101…
…00110001110001
3122120200112010200
433002110301301
51004040031013
641010545413
76152145102
oct1702246161
9576615120
10252267633
1111a442452
1270598269
13403578b7
142570a3a9
1517230e73
hexf094c71

252267633 has 12 divisors (see below), whose sum is σ = 369379140. Its totient is φ = 165874176.

The previous prime is 252267623. The next prime is 252267637. The reversal of 252267633 is 336762252.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 89245809 + 163021824 = 9447^2 + 12768^2 .

It is not a de Polignac number, because 252267633 - 25 = 252267601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252267637) 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 11 ways as a sum of consecutive naturals, for example, 191328 + ... + 192641.

It is an arithmetic number, because the mean of its divisors is an integer number (30781595).

Almost surely, 2252267633 is an apocalyptic number.

It is an amenable number.

252267633 is a deficient number, since it is larger than the sum of its proper divisors (117111507).

252267633 is a wasteful number, since it uses less digits than its factorization.

252267633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384048 (or 384045 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 252267633 is about 15882.9352765791. The cubic root of 252267633 is about 631.8594873021.

The spelling of 252267633 in words is "two hundred fifty-two million, two hundred sixty-seven thousand, six hundred thirty-three".

Divisors: 1 3 9 73 219 657 383969 1151907 3455721 28029737 84089211 252267633