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191784042 = 23231437993
BaseRepresentation
bin10110110111001…
…10010001101010
3111100212122020200
423123212101222
5343044042132
631010333030
74516065102
oct1333462152
9440778220
10191784042
119929120a
125428a176
133096b7a8
141b684202
1511c84d7c
hexb6e646a

191784042 has 48 divisors (see below), whose sum is σ = 438966528. Its totient is φ = 60419520.

The previous prime is 191784041. The next prime is 191784077. The reversal of 191784042 is 240487191.

191784042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1917840422 = 73562237531715528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 191783988 and 191784006.

It is not an unprimeable number, because it can be changed into a prime (191784041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19998 + ... + 27990.

It is an arithmetic number, because the mean of its divisors is an integer number (9145136).

Almost surely, 2191784042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191784042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219483264).

191784042 is an abundant number, since it is smaller than the sum of its proper divisors (247182486).

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

191784042 is a wasteful number, since it uses less digits than its factorization.

191784042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8075 (or 8072 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 191784042 is about 13848.6115549538. The cubic root of 191784042 is about 576.6834516073.

It can be divided in two parts, 19178 and 4042, that added together give a triangular number (23220 = T215).

The spelling of 191784042 in words is "one hundred ninety-one million, seven hundred eighty-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 31 43 62 86 93 129 186 258 279 387 558 774 1333 2666 3999 7993 7998 11997 15986 23979 23994 47958 71937 143874 247783 343699 495566 687398 743349 1031097 1486698 2062194 2230047 3093291 4460094 6186582 10654669 21309338 31964007 63928014 95892021 191784042