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199748952 = 233213213407
BaseRepresentation
bin10111110011111…
…10110101011000
3111220212022001100
423321332311120
5402113431302
631453151400
74643560314
oct1371766530
9456768040
10199748952
11a2831387
1256a8b560
13324c9c60
141c758b44
1512809d1c
hexbe7ed58

199748952 has 48 divisors (see below), whose sum is σ = 582603840. Its totient is φ = 61460928.

The previous prime is 199748911. The next prime is 199748959. The reversal of 199748952 is 259847991.

199748952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199748959) 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, 105768 + ... + 107639.

It is an arithmetic number, because the mean of its divisors is an integer number (12137580).

Almost surely, 2199748952 is an apocalyptic number.

199748952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199748952 is an abundant number, since it is smaller than the sum of its proper divisors (382854888).

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

199748952 is a wasteful number, since it uses less digits than its factorization.

199748952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213432 (or 213425 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 199748952 is about 14133.2569494791. The cubic root of 199748952 is about 584.5587555880.

The spelling of 199748952 in words is "one hundred ninety-nine million, seven hundred forty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 213407 426814 640221 853628 1280442 1707256 1920663 2560884 2774291 3841326 5121768 5548582 7682652 8322873 11097164 15365304 16645746 22194328 24968619 33291492 49937238 66582984 99874476 199748952