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1990883232 = 253313192491
BaseRepresentation
bin111011010101010…
…0111011110100000
312010202012100101000
41312222213132200
513034131230412
6525315312000
7100223141202
oct16652473640
95122170330
101990883232
11931890048
124768ab600
13259604820
1414c5a4772
15b9bb14dc
hex76aa77a0

1990883232 has 288 divisors, whose sum is σ = 6613306560. Its totient is φ = 579156480.

The previous prime is 1990883227. The next prime is 1990883269. The reversal of 1990883232 is 2323880991.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4054507 + ... + 4054997.

It is an arithmetic number, because the mean of its divisors is an integer number (22962870).

Almost surely, 21990883232 is an apocalyptic number.

1990883232 is a gapful number since it is divisible by the number (12) 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 1990883232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306653280).

1990883232 is an abundant number, since it is smaller than the sum of its proper divisors (4622423328).

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

1990883232 is a wasteful number, since it uses less digits than its factorization.

1990883232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1990883232 is about 44619.3145621938. The cubic root of 1990883232 is about 1258.0037323288.

The spelling of 1990883232 in words is "one billion, nine hundred ninety million, eight hundred eighty-three thousand, two hundred thirty-two".