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199437942 = 231131107911
BaseRepresentation
bin10111110001100…
…10111001110110
3111220021111102110
423320302321312
5402024003232
631442351450
74641123504
oct1370627166
9456244373
10199437942
11a2639750
125695b586
133241b522
141c6b7674
1512797acc
hexbe32e76

199437942 has 64 divisors (see below), whose sum is σ = 453869568. Its totient is φ = 57876000.

The previous prime is 199437929. The next prime is 199437983. The reversal of 199437942 is 249734991.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 199437891 and 199437900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218467 + ... + 219377.

It is an arithmetic number, because the mean of its divisors is an integer number (7091712).

Almost surely, 2199437942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199437942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226934784).

199437942 is an abundant number, since it is smaller than the sum of its proper divisors (254431626).

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

199437942 is a wasteful number, since it uses less digits than its factorization.

199437942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065.

The product of its digits is 489888, while the sum is 48.

The square root of 199437942 is about 14122.2498915718. The cubic root of 199437942 is about 584.2552111392.

The spelling of 199437942 in words is "one hundred ninety-nine million, four hundred thirty-seven thousand, nine hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 107 186 214 321 341 642 682 911 1023 1177 1822 2046 2354 2733 3317 3531 5466 6634 7062 9951 10021 19902 20042 28241 30063 36487 56482 60126 72974 84723 97477 109461 169446 194954 218922 292431 310651 584862 621302 931953 1072247 1863906 2144494 3021787 3216741 6043574 6433482 9065361 18130722 33239657 66479314 99718971 199437942