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192801312 = 25321160859
BaseRepresentation
bin10110111110111…
…10101000100000
3111102210022200100
423133132220200
5343324120222
631044222400
74530532644
oct1337365040
9442708610
10192801312
1199916530
125469aa00
1330c36822
141b86ac24
1511dd64ac
hexb7dea20

192801312 has 72 divisors (see below), whose sum is σ = 598132080. Its totient is φ = 58423680.

The previous prime is 192801299. The next prime is 192801319. The reversal of 192801312 is 213108291.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (192801319) 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, 27262 + ... + 33597.

It is an arithmetic number, because the mean of its divisors is an integer number (8307390).

Almost surely, 2192801312 is an apocalyptic number.

192801312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

192801312 is an abundant number, since it is smaller than the sum of its proper divisors (405330768).

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

192801312 is a wasteful number, since it uses less digits than its factorization.

192801312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60886 (or 60875 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 192801312 is about 13885.2912104860. The cubic root of 192801312 is about 577.7012780154.

The spelling of 192801312 in words is "one hundred ninety-two million, eight hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 60859 121718 182577 243436 365154 486872 547731 669449 730308 973744 1095462 1338898 1460616 1947488 2008347 2190924 2677796 2921232 4016694 4381848 5355592 5842464 6025041 8033388 8763696 10711184 12050082 16066776 17527392 21422368 24100164 32133552 48200328 64267104 96400656 192801312