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990179424 = 253313199443
BaseRepresentation
bin111011000001001…
…111000001100000
32120000012022211000
4323001033001200
54011441220144
6242130552000
733352246323
oct7301170140
92500168730
10990179424
11468a26503
12237738600
1312a1ac1b0
14957127ba
155bde1769
hex3b04f060

990179424 has 192 divisors, whose sum is σ = 3132864000. Its totient is φ = 302455296.

The previous prime is 990179387. The next prime is 990179429. The reversal of 990179424 is 424971099.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 990179424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990179429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2234947 + ... + 2235389.

It is an arithmetic number, because the mean of its divisors is an integer number (16317000).

Almost surely, 2990179424 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 990179424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566432000).

990179424 is an abundant number, since it is smaller than the sum of its proper divisors (2142684576).

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

990179424 is a wasteful number, since it uses less digits than its factorization.

990179424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 990179424 is about 31467.1165504563. The cubic root of 990179424 is about 996.7156998480.

The spelling of 990179424 in words is "nine hundred ninety million, one hundred seventy-nine thousand, four hundred twenty-four".