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83000873 = 1967113577
BaseRepresentation
bin1001111001001…
…11111000101001
312210011212210102
410330213320221
5132222011443
612122555145
72025332024
oct474477051
9183155712
1083000873
114294086a
1223968ab5
1314271257
14b0481bb
157447cb8
hex4f27e29

83000873 has 16 divisors (see below), whose sum is σ = 89613120. Its totient is φ = 76640256.

The previous prime is 83000867. The next prime is 83000899. The reversal of 83000873 is 37800038.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-83000873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83000803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143561 + ... + 144137.

It is an arithmetic number, because the mean of its divisors is an integer number (5600820).

Almost surely, 283000873 is an apocalyptic number.

It is an amenable number.

83000873 is a deficient number, since it is larger than the sum of its proper divisors (6612247).

83000873 is a wasteful number, since it uses less digits than its factorization.

83000873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776.

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 83000873 is about 9110.4814911178. The cubic root of 83000873 is about 436.2085964926.

The spelling of 83000873 in words is "eighty-three million, eight hundred seventy-three", and thus it is an aban number.

Divisors: 1 19 67 113 577 1273 2147 7571 10963 38659 65201 143849 734521 1238819 4368467 83000873