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990859584 = 2631113151239
BaseRepresentation
bin111011000011110…
…101000101000000
32120001110212211010
4323003311011000
54012130001314
6242153320520
733361111311
oct7303650500
92501425733
10990859584
11469350520
12237a06140
1312a389960
149584c608
155bec8059
hex3b0f5140

990859584 has 224 divisors, whose sum is σ = 3113349120. Its totient is φ = 274176000.

The previous prime is 990859577. The next prime is 990859589. The reversal of 990859584 is 485958099.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990859589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4145737 + ... + 4145975.

It is an arithmetic number, because the mean of its divisors is an integer number (13898880).

Almost surely, 2990859584 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 990859584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556674560).

990859584 is an abundant number, since it is smaller than the sum of its proper divisors (2122489536).

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

990859584 is a wasteful number, since it uses less digits than its factorization.

990859584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 57.

The square root of 990859584 is about 31477.9221677670. The cubic root of 990859584 is about 996.9438642155.

The spelling of 990859584 in words is "nine hundred ninety million, eight hundred fifty-nine thousand, five hundred eighty-four".