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199429752 = 233291012837
BaseRepresentation
bin10111110001100…
…00111001111000
3111220021002012010
423320300321320
5402023223002
631442245520
74641060564
oct1370607170
9456232163
10199429752
11a2633585
12569568a0
1332417892
141c6b46a4
151279546c
hexbe30e78

199429752 has 64 divisors (see below), whose sum is σ = 521056800. Its totient is φ = 63526400.

The previous prime is 199429739. The next prime is 199429753. The reversal of 199429752 is 257924991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199429753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68878 + ... + 71714.

Almost surely, 2199429752 is an apocalyptic number.

199429752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199429752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260528400).

199429752 is an abundant number, since it is smaller than the sum of its proper divisors (321627048).

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

199429752 is a wasteful number, since it uses less digits than its factorization.

199429752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2972 counting only the distinct ones).

The product of its digits is 408240, while the sum is 48.

The square root of 199429752 is about 14121.9599206342. The cubic root of 199429752 is about 584.2472134706.

The spelling of 199429752 in words is "one hundred ninety-nine million, four hundred twenty-nine thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 101 116 174 202 232 303 348 404 606 696 808 1212 2424 2837 2929 5674 5858 8511 8787 11348 11716 17022 17574 22696 23432 34044 35148 68088 70296 82273 164546 246819 286537 329092 493638 573074 658184 859611 987276 1146148 1719222 1974552 2292296 3438444 6876888 8309573 16619146 24928719 33238292 49857438 66476584 99714876 199429752