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990455328 = 253229118589
BaseRepresentation
bin111011000010010…
…010011000100000
32120000201100021200
4323002102120200
54012024032303
6242140521200
733354505602
oct7302223040
92500640250
10990455328
114690a4825
12237850200
1312a277955
1495785172
155be483a3
hex3b092620

990455328 has 72 divisors (see below), whose sum is σ = 2913756300. Its totient is φ = 318764544.

The previous prime is 990455321. The next prime is 990455339. The reversal of 990455328 is 823554099.

990455328 is a `hidden beast` number, since 9 + 90 + 4 + 553 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 858021264 + 132434064 = 29292^2 + 11508^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (990455321) 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 11 ways as a sum of consecutive naturals, for example, 50943 + ... + 67646.

Almost surely, 2990455328 is an apocalyptic number.

It is an amenable number.

990455328 is an abundant number, since it is smaller than the sum of its proper divisors (1923300972).

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

990455328 is a wasteful number, since it uses less digits than its factorization.

990455328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118634 (or 118623 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 990455328 is about 31471.5002502264. The cubic root of 990455328 is about 996.8082663412.

The spelling of 990455328 in words is "nine hundred ninety million, four hundred fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 118589 237178 355767 474356 711534 948712 1067301 1423068 1897424 2134602 2846136 3439081 3794848 4269204 5692272 6878162 8538408 10317243 11384544 13756324 17076816 20634486 27512648 30951729 34153632 41268972 55025296 61903458 82537944 110050592 123806916 165075888 247613832 330151776 495227664 990455328