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199606752 = 2532693079
BaseRepresentation
bin10111110010111…
…00000111100000
3111220121001222200
423321130013200
5402044404002
631450133200
74642425612
oct1371340740
9456531880
10199606752
11a2744564
1256a21200
133247a307
141c71cdb2
15127ccb1c
hexbe5c1e0

199606752 has 36 divisors (see below), whose sum is σ = 567632520. Its totient is φ = 66535488.

The previous prime is 199606733. The next prime is 199606753. The reversal of 199606752 is 257606991.

It is a happy number.

199606752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 199606698 and 199606707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199606753) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 346252 + ... + 346827.

It is an arithmetic number, because the mean of its divisors is an integer number (15767570).

Almost surely, 2199606752 is an apocalyptic number.

199606752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199606752 is an abundant number, since it is smaller than the sum of its proper divisors (368025768).

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

199606752 is a wasteful number, since it uses less digits than its factorization.

199606752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693095 (or 693084 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 199606752 is about 14128.2253662659. The cubic root of 199606752 is about 584.4200081132.

The spelling of 199606752 in words is "one hundred ninety-nine million, six hundred six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 693079 1386158 2079237 2772316 4158474 5544632 6237711 8316948 11089264 12475422 16633896 22178528 24950844 33267792 49901688 66535584 99803376 199606752