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83406325 = 523722437
BaseRepresentation
bin1001111100010…
…10110111110101
312210221110222011
410332022313311
5132323000300
612135404221
72031641062
oct476126765
9183843864
1083406325
1143098452
1223b23671
1314383972
14b111c69
1574c7eba
hex4f8adf5

83406325 has 18 divisors (see below), whose sum is σ = 106338246. Its totient is φ = 64895040.

The previous prime is 83406319. The next prime is 83406329. The reversal of 83406325 is 52360438.

It can be written as a sum of positive squares in 9 ways, for example, as 3017169 + 80389156 = 1737^2 + 8966^2 .

It is not a de Polignac number, because 83406325 - 29 = 83405813 is a prime.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83406329) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 33007 + ... + 35443.

Almost surely, 283406325 is an apocalyptic number.

It is an amenable number.

83406325 is a deficient number, since it is larger than the sum of its proper divisors (22931921).

83406325 is a wasteful number, since it uses less digits than its factorization.

83406325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 83406325 is about 9132.7063349261. The cubic root of 83406325 is about 436.9177233405.

The spelling of 83406325 in words is "eighty-three million, four hundred six thousand, three hundred twenty-five".

Divisors: 1 5 25 37 185 925 1369 2437 6845 12185 34225 60925 90169 450845 2254225 3336253 16681265 83406325