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83145328 = 247742369
BaseRepresentation
bin1001111010010…
…11001001110000
312210110012221121
410331023021300
5132241122303
612130032024
72026503130
oct475131160
9183405847
1083145328
1142a2a352
1223a18614
13142c1c26
14b084ac0
1574759bd
hex4f4b270

83145328 has 20 divisors (see below), whose sum is σ = 184107760. Its totient is φ = 35633664.

The previous prime is 83145319. The next prime is 83145329. The reversal of 83145328 is 82354138.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 83145293 and 83145302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83145329) by changing a digit.

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, 371073 + ... + 371296.

It is an arithmetic number, because the mean of its divisors is an integer number (9205388).

Almost surely, 283145328 is an apocalyptic number.

It is an amenable number.

83145328 is an abundant number, since it is smaller than the sum of its proper divisors (100962432).

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

83145328 is a wasteful number, since it uses less digits than its factorization.

83145328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742384 (or 742378 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 83145328 is about 9118.4060010508. The cubic root of 83145328 is about 436.4615094645.

The spelling of 83145328 in words is "eighty-three million, one hundred forty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 742369 1484738 2969476 5196583 5938952 10393166 11877904 20786332 41572664 83145328