Search a number
-
+
831380550 = 2352731113113
BaseRepresentation
bin110001100011011…
…101110001000110
32010221101111201020
4301203131301012
53200313134200
6214255212010
726413422000
oct6143356106
92127344636
10831380550
11397324570
121b2517006
1310331c370
147c5b7370
154cec4ea0
hex318ddc46

831380550 has 384 divisors, whose sum is σ = 2849817600. Its totient is φ = 158054400.

The previous prime is 831380531. The next prime is 831380551. The reversal of 831380550 is 55083138.

831380550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (831380551) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7357294 + ... + 7357406.

It is an arithmetic number, because the mean of its divisors is an integer number (7421400).

Almost surely, 2831380550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 831380550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424908800).

831380550 is an abundant number, since it is smaller than the sum of its proper divisors (2018437050).

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

831380550 is a wasteful number, since it uses less digits than its factorization.

831380550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 831380550 is about 28833.6704219217. The cubic root of 831380550 is about 940.3003981812.

The spelling of 831380550 in words is "eight hundred thirty-one million, three hundred eighty thousand, five hundred fifty".