Search a number
-
+
1038192841 = 7246032
BaseRepresentation
bin111101111000011…
…001000011001001
32200100112122211201
4331320121003021
54111234132331
6251004024201
734504331200
oct7570310311
92610478751
101038192841
1149303a714
1224b832061
131371202ba
149bc50237
1561227a61
hex3de190c9

1038192841 has 9 divisors (see below), whose sum is σ = 1207956141. Its totient is φ = 889686252.

The previous prime is 1038192833. The next prime is 1038192853. The reversal of 1038192841 is 1482918301.

The square root of 1038192841 is 32221.

It is a perfect power (a square), and thus also a powerful number.

1038192841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1038192841 - 23 = 1038192833 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1038192841.

It is not an unprimeable number, because it can be changed into a prime (1038192871) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 223246 + ... + 227848.

It is an arithmetic number, because the mean of its divisors is an integer number (134217349).

Almost surely, 21038192841 is an apocalyptic number.

1038192841 is the 32221-st square number.

1038192841 is the 16111-st centered octagonal number.

It is an amenable number.

1038192841 is a deficient number, since it is larger than the sum of its proper divisors (169763300).

1038192841 is an frugal number, since it uses more digits than its factorization.

1038192841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9220 (or 4610 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The cubic root of 1038192841 is about 1012.5722237968.

The spelling of 1038192841 in words is "one billion, thirty-eight million, one hundred ninety-two thousand, eight hundred forty-one".

Divisors: 1 7 49 4603 32221 225547 21187609 148313263 1038192841