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990198400 = 2752309437
BaseRepresentation
bin111011000001010…
…011101010000000
32120000020021211211
4323001103222000
54011442322100
6242131215504
733352355542
oct7301235200
92500207754
10990198400
11468a39794
12237747594
1312a1b7a19
1495719692
155bde71ba
hex3b053a80

990198400 has 48 divisors (see below), whose sum is σ = 2446107390. Its totient is φ = 396078080.

The previous prime is 990198347. The next prime is 990198413. The reversal of 990198400 is 4891099.

It can be written as a sum of positive squares in 3 ways, for example, as 784448064 + 205750336 = 28008^2 + 14344^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 151519 + ... + 157918.

Almost surely, 2990198400 is an apocalyptic number.

It is an amenable number.

990198400 is an abundant number, since it is smaller than the sum of its proper divisors (1455908990).

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

990198400 is a wasteful number, since it uses less digits than its factorization.

990198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309461 (or 309444 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The square root of 990198400 is about 31467.4180701245. The cubic root of 990198400 is about 996.7220668949.

The spelling of 990198400 in words is "nine hundred ninety million, one hundred ninety-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 309437 618874 1237748 1547185 2475496 3094370 4950992 6188740 7735925 9901984 12377480 15471850 19803968 24754960 30943700 39607936 49509920 61887400 99019840 123774800 198039680 247549600 495099200 990198400