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32013268 = 2272233701
BaseRepresentation
bin111101000011…
…1101111010100
32020020102221121
41322013233110
531143411033
63102053324
7536052100
oct172075724
966212847
1032013268
1117086051
12a87a244
13682b481
144374900
152c2562d
hex1e87bd4

32013268 has 36 divisors (see below), whose sum is σ = 65542932. Its totient is φ = 13641600.

The previous prime is 32013259. The next prime is 32013269. The reversal of 32013268 is 86231023.

It can be written as a sum of positive squares in 2 ways, for example, as 17405584 + 14607684 = 4172^2 + 3822^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32013269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45318 + ... + 46018.

It is an arithmetic number, because the mean of its divisors is an integer number (1820637).

Almost surely, 232013268 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 32013268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32771466).

32013268 is an abundant number, since it is smaller than the sum of its proper divisors (33529664).

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

32013268 is a wasteful number, since it uses less digits than its factorization.

32013268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 32013268 is about 5658.0268645527. The cubic root of 32013268 is about 317.5240827414.

The spelling of 32013268 in words is "thirty-two million, thirteen thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 233 466 701 932 1402 1631 2804 3262 4907 6524 9814 11417 19628 22834 34349 45668 68698 137396 163333 326666 653332 1143331 2286662 4573324 8003317 16006634 32013268