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950424192 = 2734292109
BaseRepresentation
bin111000101001100…
…101001010000000
32110020101112220000
4320221211022000
53421302033232
6234150520000
732360321004
oct7051451200
92406345800
10950424192
11448542843
12226366000
13121b9cba3
1490324704
155868c27c
hex38a65280

950424192 has 240 divisors, whose sum is σ = 2956217550. Its totient is φ = 303077376.

The previous prime is 950424191. The next prime is 950424197. The reversal of 950424192 is 291424059.

It can be written as a sum of positive squares in 3 ways, for example, as 884229696 + 66194496 = 29736^2 + 8136^2 .

It is a super-2 number, since 2×9504241922 = 1806612289477705728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (950424191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8719434 + ... + 8719542.

Almost surely, 2950424192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 950424192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478108775).

950424192 is an abundant number, since it is smaller than the sum of its proper divisors (2005793358).

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

950424192 is a wasteful number, since it uses less digits than its factorization.

950424192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 950424192 is about 30828.9505497673. The cubic root of 950424192 is about 983.1938668302.

It can be divided in two parts, 9 and 50424192, that added together give a square (50424201 = 71012).

The spelling of 950424192 in words is "nine hundred fifty million, four hundred twenty-four thousand, one hundred ninety-two".