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8290503440 = 245103631293
BaseRepresentation
bin1111011100010011…
…10000101100010000
3210101210001012200222
413232021300230100
5113434332102230
63450354132212
7412306054652
oct75611605420
923353035628
108290503440
113574855a3a
121734581068
13a2179754b
145890c86d2
15337c806e5
hex1ee270b10

8290503440 has 20 divisors (see below), whose sum is σ = 19275420684. Its totient is φ = 3316201344.

The previous prime is 8290503439. The next prime is 8290503443. The reversal of 8290503440 is 443050928.

It can be written as a sum of positive squares in 2 ways, for example, as 5355897856 + 2934605584 = 73184^2 + 54172^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8290503440.

It is not an unprimeable number, because it can be changed into a prime (8290503443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51815567 + ... + 51815726.

Almost surely, 28290503440 is an apocalyptic number.

8290503440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8290503440 is an abundant number, since it is smaller than the sum of its proper divisors (10984917244).

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

8290503440 is a wasteful number, since it uses less digits than its factorization.

8290503440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103631306 (or 103631300 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 8290503440 is about 91052.2017306556. The cubic root of 8290503440 is about 2023.9213634714.

The spelling of 8290503440 in words is "eight billion, two hundred ninety million, five hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103631293 207262586 414525172 518156465 829050344 1036312930 1658100688 2072625860 4145251720 8290503440