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283232052 = 22352111381
BaseRepresentation
bin10000111000011…
…100011100110100
3201201221200100000
4100320130130310
51040001411202
644034351300
710006301265
oct2070343464
9651850300
10283232052
11135971484
127aa2b530
13468a983c
142988a96c
1519cea91c
hex10e1c734

283232052 has 72 divisors (see below), whose sum is σ = 746523232. Its totient is φ = 93895200.

The previous prime is 283232041. The next prime is 283232083. The reversal of 283232052 is 250232382.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 204402 + ... + 205782.

Almost surely, 2283232052 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 283232052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373261616).

283232052 is an abundant number, since it is smaller than the sum of its proper divisors (463291180).

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

283232052 is a wasteful number, since it uses less digits than its factorization.

283232052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 283232052 is about 16829.4994577973. The cubic root of 283232052 is about 656.7208421839.

The spelling of 283232052 in words is "two hundred eighty-three million, two hundred thirty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 211 243 324 422 486 633 844 972 1266 1381 1899 2532 2762 3798 4143 5524 5697 7596 8286 11394 12429 16572 17091 22788 24858 34182 37287 49716 51273 68364 74574 102546 111861 149148 205092 223722 291391 335583 447444 582782 671166 874173 1165564 1342332 1748346 2622519 3496692 5245038 7867557 10490076 15735114 23602671 31470228 47205342 70808013 94410684 141616026 283232052