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199904832 = 2632347057
BaseRepresentation
bin10111110101001…
…00111001000000
3111221011012212200
423322210321000
5402133423312
631500353200
74645106631
oct1372447100
9457135780
10199904832
11a2928506
1256b45800
1332552baa
141c799888
151283b0dc
hexbea4e40

199904832 has 42 divisors (see below), whose sum is σ = 572992758. Its totient is φ = 66634752.

The previous prime is 199904827. The next prime is 199904851. The reversal of 199904832 is 238409991.

It can be written as a sum of positive squares in only one way, i.e., 103550976 + 96353856 = 10176^2 + 9816^2 .

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 5 ways as a sum of consecutive naturals, for example, 172953 + ... + 174104.

Almost surely, 2199904832 is an apocalyptic number.

199904832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199904832 is an abundant number, since it is smaller than the sum of its proper divisors (373087926).

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

199904832 is a wasteful number, since it uses less digits than its factorization.

199904832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347075 (or 347062 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 199904832 is about 14138.7705264637. The cubic root of 199904832 is about 584.7107752860.

The spelling of 199904832 in words is "one hundred ninety-nine million, nine hundred four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 347057 694114 1041171 1388228 2082342 2776456 3123513 4164684 5552912 6247026 8329368 11105824 12494052 16658736 22211648 24988104 33317472 49976208 66634944 99952416 199904832