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192829112 = 237410039
BaseRepresentation
bin10110111111001…
…01011010111000
3111102211201210222
423133211122320
5343331012422
631044555212
74531010000
oct1337453270
9442751728
10192829112
1199935403
12546b2b08
1330c46388
141b877000
1511dde842
hexb7e56b8

192829112 has 40 divisors (see below), whose sum is σ = 421830600. Its totient is φ = 82632816.

The previous prime is 192829103. The next prime is 192829121. The reversal of 192829112 is 211928291.

It is an interprime number because it is at equal distance from previous prime (192829103) and next prime (192829121).

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 9 ways as a sum of consecutive naturals, for example, 14189 + ... + 24227.

It is an arithmetic number, because the mean of its divisors is an integer number (10545765).

Almost surely, 2192829112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 192829112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210915300).

192829112 is an abundant number, since it is smaller than the sum of its proper divisors (229001488).

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

192829112 is an equidigital number, since it uses as much as digits as its factorization.

192829112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10073 (or 10048 counting only the distinct ones).

The product of its digits is 5184, while the sum is 35.

The square root of 192829112 is about 13886.2922337102. The cubic root of 192829112 is about 577.7290429089.

The spelling of 192829112 in words is "one hundred ninety-two million, eight hundred twenty-nine thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1372 2401 2744 4802 9604 10039 19208 20078 40156 70273 80312 140546 281092 491911 562184 983822 1967644 3443377 3935288 6886754 13773508 24103639 27547016 48207278 96414556 192829112