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1008900032 = 2672252009
BaseRepresentation
bin111100001000101…
…001011111000000
32121022102102122212
4330020221133000
54031234300112
6244040121252
734000336340
oct7410513700
92538372585
101008900032
11478552588
12241a66228
1313103518a
1497dc6d20
155d88d522
hex3c2297c0

1008900032 has 28 divisors (see below), whose sum is σ = 2288042160. Its totient is φ = 432385536.

The previous prime is 1008900029. The next prime is 1008900041. The reversal of 1008900032 is 2300098001.

It is a tau number, because it is divible by the number of its divisors (28).

It is a junction number, because it is equal to n+sod(n) for n = 1008899980 and 1008900007.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1125557 + ... + 1126452.

Almost surely, 21008900032 is an apocalyptic number.

It is an amenable number.

1008900032 is an abundant number, since it is smaller than the sum of its proper divisors (1279142128).

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

1008900032 is an equidigital number, since it uses as much as digits as its factorization.

1008900032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252028 (or 2252018 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 1008900032 is about 31763.1867418872. The cubic root of 1008900032 is about 1002.9579194195.

Adding to 1008900032 its reverse (2300098001), we get a palindrome (3308998033).

The spelling of 1008900032 in words is "one billion, eight million, nine hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 2252009 4504018 9008036 15764063 18016072 31528126 36032144 63056252 72064288 126112504 144128576 252225008 504450016 1008900032