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192871872 = 2632418167
BaseRepresentation
bin10110111111011…
…11110111000000
3111102220220110200
423133233313000
5343333344442
631045525200
74531245444
oct1337576700
9442826420
10192871872
1199964546
1254713800
1330c5c98b
141b888824
1511dec34c
hexb7efdc0

192871872 has 84 divisors (see below), whose sum is σ = 566385456. Its totient is φ = 62714880.

The previous prime is 192871871. The next prime is 192871883. The reversal of 192871872 is 278178291.

192871872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192871871) 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, 19533 + ... + 27699.

It is an arithmetic number, because the mean of its divisors is an integer number (6742684).

Almost surely, 2192871872 is an apocalyptic number.

192871872 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 192871872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283192728).

192871872 is an abundant number, since it is smaller than the sum of its proper divisors (373513584).

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

192871872 is a wasteful number, since it uses less digits than its factorization.

192871872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8226 (or 8213 counting only the distinct ones).

The product of its digits is 112896, while the sum is 45.

The square root of 192871872 is about 13887.8317962164. The cubic root of 192871872 is about 577.7717437020.

The spelling of 192871872 in words is "one hundred ninety-two million, eight hundred seventy-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 984 1312 1476 1968 2624 2952 3936 5904 7872 8167 11808 16334 23616 24501 32668 49002 65336 73503 98004 130672 147006 196008 261344 294012 334847 392016 522688 588024 669694 784032 1004541 1176048 1339388 1568064 2009082 2352096 2678776 3013623 4018164 4704192 5357552 6027246 8036328 10715104 12054492 16072656 21430208 24108984 32145312 48217968 64290624 96435936 192871872