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83002890 = 2352766763
BaseRepresentation
bin1001111001010…
…00011000001010
312210011222120010
410330220120022
5132222043030
612123012350
72025340635
oct474503012
9183158503
1083002890
1142942333
122396a0b6
1314272149
14b048c1c
1574486b0
hex4f2860a

83002890 has 16 divisors (see below), whose sum is σ = 199207008. Its totient is φ = 22134096.

The previous prime is 83002889. The next prime is 83002897. The reversal of 83002890 is 9820038.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 2766763 = 83002890 / (8 + 3 + 0 + 0 + 2 + 8 + 9 + 0).

It is not an unprimeable number, because it can be changed into a prime (83002897) 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 7 ways as a sum of consecutive naturals, for example, 1383352 + ... + 1383411.

It is an arithmetic number, because the mean of its divisors is an integer number (12450438).

Almost surely, 283002890 is an apocalyptic number.

83002890 is an abundant number, since it is smaller than the sum of its proper divisors (116204118).

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

83002890 is a wasteful number, since it uses less digits than its factorization.

83002890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766773.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 83002890 is about 9110.5921871193. The cubic root of 83002890 is about 436.2121298916.

The spelling of 83002890 in words is "eighty-three million, two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 2766763 5533526 8300289 13833815 16600578 27667630 41501445 83002890