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990946496 = 26314710627
BaseRepresentation
bin111011000100001…
…010010011000000
32120001122022001002
4323010022103000
54012140241441
6242155231132
733361622561
oct7304122300
92501568032
10990946496
114693aa851
12237a484a8
1312a3ba397
1495872168
155bee3b9b
hex3b10a4c0

990946496 has 56 divisors (see below), whose sum is σ = 2073225216. Its totient is φ = 469244160.

The previous prime is 990946493. The next prime is 990946499. The reversal of 990946496 is 694649099.

It is an interprime number because it is at equal distance from previous prime (990946493) and next prime (990946499).

It is not an unprimeable number, because it can be changed into a prime (990946493) 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 7 ways as a sum of consecutive naturals, for example, 87935 + ... + 98561.

Almost surely, 2990946496 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 990946496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036612608).

990946496 is an abundant number, since it is smaller than the sum of its proper divisors (1082278720).

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

990946496 is a wasteful number, since it uses less digits than its factorization.

990946496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10717 (or 10707 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 56.

The square root of 990946496 is about 31479.3026606372. The cubic root of 990946496 is about 996.9730119216.

The spelling of 990946496 in words is "nine hundred ninety million, nine hundred forty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 47 62 64 94 124 188 248 376 496 752 992 1457 1504 1984 2914 3008 5828 10627 11656 21254 23312 42508 46624 85016 93248 170032 329437 340064 499469 658874 680128 998938 1317748 1997876 2635496 3995752 5270992 7991504 10541984 15483539 15983008 21083968 30967078 31966016 61934156 123868312 247736624 495473248 990946496