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82669392 = 24321324379
BaseRepresentation
bin1001110110101…
…10111101010000
312202120001002100
410323112331100
5132130410032
612111520400
72022451431
oct473267520
9182501070
1082669392
1142734813
1223829100
1314186400
14ad9d488
1573ce97c
hex4ed6f50

82669392 has 180 divisors, whose sum is σ = 259596480. Its totient is φ = 24530688.

The previous prime is 82669373. The next prime is 82669403. The reversal of 82669392 is 29396628.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (279936) is a multiple of the sum of its prime factors (162).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1046409 + ... + 1046487.

Almost surely, 282669392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82669392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129798240).

82669392 is an abundant number, since it is smaller than the sum of its proper divisors (176927088).

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

82669392 is a wasteful number, since it uses less digits than its factorization.

82669392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 140 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 82669392 is about 9092.2710034402. The cubic root of 82669392 is about 435.6271255815.

The spelling of 82669392 in words is "eighty-two million, six hundred sixty-nine thousand, three hundred ninety-two".