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83416428 = 22322317123
BaseRepresentation
bin1001111100011…
…01010101101100
312210221222211100
410332031111230
5132323311203
612135523100
72032012404
oct476152554
9183858740
1083416428
11430a4aa7
1223b29490
1314388444
14b115804
1574caea3
hex4f8d56c

83416428 has 18 divisors (see below), whose sum is σ = 210858284. Its totient is φ = 27805464.

The previous prime is 83416387. The next prime is 83416439. The reversal of 83416428 is 82461438.

83416428 is a `hidden beast` number, since 8 + 3 + 4 + 1 + 642 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2317123 = 83416428 / (8 + 3 + 4 + 1 + 6 + 4 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 83416392 and 83416401.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1158526 + ... + 1158597.

Almost surely, 283416428 is an apocalyptic number.

It is an amenable number.

83416428 is an abundant number, since it is smaller than the sum of its proper divisors (127441856).

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

83416428 is a wasteful number, since it uses less digits than its factorization.

83416428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317133 (or 2317128 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 83416428 is about 9133.2594400904. The cubic root of 83416428 is about 436.9353638953.

The spelling of 83416428 in words is "eighty-three million, four hundred sixteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2317123 4634246 6951369 9268492 13902738 20854107 27805476 41708214 83416428