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850091424 = 253713314373
BaseRepresentation
bin110010101010110…
…101110110100000
32012020121010012120
4302222311312200
53220110411144
6220204224240
730031441440
oct6252656640
92166533176
10850091424
113a69442a6
121b883b080
13107170aa0
1480c88120
154e96de19
hex32ab5da0

850091424 has 384 divisors, whose sum is σ = 2940715008. Its totient is φ = 209018880.

The previous prime is 850091383. The next prime is 850091441. The reversal of 850091424 is 424190058.

850091424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11645052 + ... + 11645124.

It is an arithmetic number, because the mean of its divisors is an integer number (7658112).

Almost surely, 2850091424 is an apocalyptic number.

850091424 is a gapful number since it is divisible by the number (84) 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 850091424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470357504).

850091424 is an abundant number, since it is smaller than the sum of its proper divisors (2090623584).

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

850091424 is a wasteful number, since it uses less digits than its factorization.

850091424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 850091424 is about 29156.3273407334. The cubic root of 850091424 is about 947.3021979493.

The spelling of 850091424 in words is "eight hundred fifty million, ninety-one thousand, four hundred twenty-four".