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1802649040 = 24522533113
BaseRepresentation
bin110101101110010…
…0011110111010000
311122122000001121021
41223130203313100
512142434232130
6454513005224
762446156363
oct15334436720
94578001537
101802649040
118456039a5
12423853814
13229609a4a
141315a60da
15a83cd37a
hex6b723dd0

1802649040 has 20 divisors (see below), whose sum is σ = 4191159204. Its totient is φ = 721059584.

The previous prime is 1802649031. The next prime is 1802649089. The reversal of 1802649040 is 409462081.

It can be written as a sum of positive squares in 2 ways, for example, as 1267929664 + 534719376 = 35608^2 + 23124^2 .

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

It is a super-2 number, since 2×18026490402 = 6499087122825843200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1802648987 and 1802649005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11266477 + ... + 11266636.

Almost surely, 21802649040 is an apocalyptic number.

1802649040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1802649040 is an abundant number, since it is smaller than the sum of its proper divisors (2388510164).

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

1802649040 is a wasteful number, since it uses less digits than its factorization.

1802649040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22533126 (or 22533120 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 1802649040 is about 42457.6146291805. The cubic root of 1802649040 is about 1217.0368472214.

The spelling of 1802649040 in words is "one billion, eight hundred two million, six hundred forty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 22533113 45066226 90132452 112665565 180264904 225331130 360529808 450662260 901324520 1802649040