Search a number
-
+
192138896 = 2417897937
BaseRepresentation
bin10110111001111…
…00111010010000
3111101112200000102
423130330322100
5343141421041
631022111532
74522103465
oct1334747220
9441480012
10192138896
1199503884
125441b5a8
1330a64171
141b73766c
1511d0509b
hexb73ce90

192138896 has 40 divisors (see below), whose sum is σ = 398646360. Its totient is φ = 89391104.

The previous prime is 192138871. The next prime is 192138901. The reversal of 192138896 is 698831291.

It can be written as a sum of positive squares in 4 ways, for example, as 83978896 + 108160000 = 9164^2 + 10400^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 192138896.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20240 + ... + 28176.

It is an arithmetic number, because the mean of its divisors is an integer number (9966159).

Almost surely, 2192138896 is an apocalyptic number.

192138896 is a gapful number since it is divisible by the number (16) 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 192138896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199323180).

192138896 is an abundant number, since it is smaller than the sum of its proper divisors (206507464).

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

192138896 is a wasteful number, since it uses less digits than its factorization.

192138896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8051 (or 8045 counting only the distinct ones).

The product of its digits is 186624, while the sum is 47.

The square root of 192138896 is about 13861.4175321285. The cubic root of 192138896 is about 577.0389075744.

The spelling of 192138896 in words is "one hundred ninety-two million, one hundred thirty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 68 89 136 178 272 356 712 1424 1513 3026 6052 7937 12104 15874 24208 31748 63496 126992 134929 269858 539716 706393 1079432 1412786 2158864 2825572 5651144 11302288 12008681 24017362 48034724 96069448 192138896