Base | Representation |
---|---|
bin | 10110111001111… |
… | …11011000000000 |
3 | 111101120011212100 |
4 | 23130333120000 |
5 | 343142231432 |
6 | 31022230400 |
7 | 4522145100 |
oct | 1334773000 |
9 | 441504770 |
10 | 192148992 |
11 | 99510422 |
12 | 54425400 |
13 | 30a68939 |
14 | 1b73b200 |
15 | 11d0807c |
hex | b73f600 |
192148992 has 360 divisors, whose sum is σ = 691335216. Its totient is φ = 51093504.
The previous prime is 192148991. The next prime is 192148997. The reversal of 192148992 is 299841291.
192148992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a nude number because it is divisible by every one of its digits.
Its product of digits (93312) is a multiple of the sum of its prime divisors (72).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (192148991) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5193198 + ... + 5193234.
Almost surely, 2192148992 is an apocalyptic number.
192148992 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 192148992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345667608).
192148992 is an abundant number, since it is smaller than the sum of its proper divisors (499186224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
192148992 is a wasteful number, since it uses less digits than its factorization.
192148992 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 98 (or 72 counting only the distinct ones).
The product of its digits is 93312, while the sum is 45.
The square root of 192148992 is about 13861.7817036628. The cubic root of 192148992 is about 577.0490142957.
The spelling of 192148992 in words is "one hundred ninety-two million, one hundred forty-eight thousand, nine hundred ninety-two".
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