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83282625 = 3253181409
BaseRepresentation
bin1001111011011…
…00101011000001
312210201012021200
410331230223001
5132310021000
612133011413
72030614326
oct475545301
9183635250
1083282625
1143013518
1223a83b69
131433c57a
14b0bcb4d
1574a1500
hex4f6cac1

83282625 has 48 divisors (see below), whose sum is σ = 151329360. Its totient is φ = 44064000.

The previous prime is 83282621. The next prime is 83282687. The reversal of 83282625 is 52628238.

83282625 is a `hidden beast` number, since 8 + 3 + 28 + 2 + 625 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 34715664 + 48566961 = 5892^2 + 6969^2 .

It is not a de Polignac number, because 83282625 - 22 = 83282621 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 83282625.

It is not an unprimeable number, because it can be changed into a prime (83282621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203421 + ... + 203829.

It is an arithmetic number, because the mean of its divisors is an integer number (3152695).

Almost surely, 283282625 is an apocalyptic number.

It is an amenable number.

83282625 is a deficient number, since it is larger than the sum of its proper divisors (68046735).

83282625 is a wasteful number, since it uses less digits than its factorization.

83282625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 598 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 83282625 is about 9125.9314593087. The cubic root of 83282625 is about 436.7016187731.

The spelling of 83282625 in words is "eighty-three million, two hundred eighty-two thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 181 225 375 409 543 905 1125 1227 1629 2045 2715 3681 4525 6135 8145 10225 13575 18405 22625 30675 40725 51125 67875 74029 92025 153375 203625 222087 370145 460125 666261 1110435 1850725 3331305 5552175 9253625 16656525 27760875 83282625