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191952 = 24323143
BaseRepresentation
bin101110110111010000
3100202022100
4232313100
522120302
64040400
71426425
oct566720
9322270
10191952
11121242
1293100
13694a7
144dd4c
153bd1c
hex2edd0

191952 has 60 divisors (see below), whose sum is σ = 567424. Its totient is φ = 60480.

The previous prime is 191929. The next prime is 191953. The reversal of 191952 is 259191.

It is a happy number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4443 + ... + 4485.

2191952 is an apocalyptic number.

191952 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 191952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283712).

191952 is an abundant number, since it is smaller than the sum of its proper divisors (375472).

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

191952 is a wasteful number, since it uses less digits than its factorization.

191952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 79 counting only the distinct ones).

The product of its digits is 810, while the sum is 27.

The square root of 191952 is about 438.1232703247. The cubic root of 191952 is about 57.6851749130.

The spelling of 191952 in words is "one hundred ninety-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 43 48 62 72 86 93 124 129 144 172 186 248 258 279 344 372 387 496 516 558 688 744 774 1032 1116 1333 1488 1548 2064 2232 2666 3096 3999 4464 5332 6192 7998 10664 11997 15996 21328 23994 31992 47988 63984 95976 191952