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949890048 = 21033761137
BaseRepresentation
bin111000100111100…
…010110000000000
32110012101102011220
4320213202300000
53421132440143
6234131235040
732352634512
oct7047426000
92405342156
10949890048
114482084a8
12226148a80
13121a43a23
1490225bb2
15585d3d83
hex389e2c00

949890048 has 176 divisors, whose sum is σ = 2662148064. Its totient is φ = 300810240.

The previous prime is 949890037. The next prime is 949890061. The reversal of 949890048 is 840098949.

It is a super-2 number, since 2×9498900482 = 1804582206578884608, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6933436 + ... + 6933572.

Almost surely, 2949890048 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 949890048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331074032).

949890048 is an abundant number, since it is smaller than the sum of its proper divisors (1712258016).

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

949890048 is a wasteful number, since it uses less digits than its factorization.

949890048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 949890048 is about 30820.2863062626. The cubic root of 949890048 is about 983.0096453979.

The spelling of 949890048 in words is "nine hundred forty-nine million, eight hundred ninety thousand, forty-eight".