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187823142 = 232131495387
BaseRepresentation
bin10110011000111…
…11010000100110
3111002102101220200
423030133100212
5341040320032
630345411330
74440320223
oct1314372046
9432371820
10187823142
1197026341
1252a99b46
132cbb2970
141ad3294a
151175147c
hexb31f426

187823142 has 48 divisors (see below), whose sum is σ = 441277200. Its totient is φ = 57393216.

The previous prime is 187823131. The next prime is 187823143. The reversal of 187823142 is 241328781.

187823142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 187823097 and 187823106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187823143) 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, 32173 + ... + 37559.

It is an arithmetic number, because the mean of its divisors is an integer number (9193275).

Almost surely, 2187823142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 187823142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220638600).

187823142 is an abundant number, since it is smaller than the sum of its proper divisors (253454058).

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

187823142 is a wasteful number, since it uses less digits than its factorization.

187823142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5557 (or 5554 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 187823142 is about 13704.8583356414. The cubic root of 187823142 is about 572.6857372338.

The spelling of 187823142 in words is "one hundred eighty-seven million, eight hundred twenty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 149 234 298 447 894 1341 1937 2682 3874 5387 5811 10774 11622 16161 17433 32322 34866 48483 70031 96966 140062 210093 420186 630279 802663 1260558 1605326 2407989 4815978 7223967 10434619 14447934 20869238 31303857 62607714 93911571 187823142