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82092384 = 25321125913
BaseRepresentation
bin1001110010010…
…10000101100000
312201110201120200
410321022011200
5132003424014
612051305200
72014526253
oct471120540
9181421520
1082092384
1142380250
12235ab200
131401389a
14ac8d09a
157318a09
hex4e4a160

82092384 has 72 divisors (see below), whose sum is σ = 254682792. Its totient is φ = 24875520.

The previous prime is 82092383. The next prime is 82092421. The reversal of 82092384 is 48329028.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82092383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9789 + ... + 16124.

It is an arithmetic number, because the mean of its divisors is an integer number (3537261).

Almost surely, 282092384 is an apocalyptic number.

It is an amenable number.

82092384 is an abundant number, since it is smaller than the sum of its proper divisors (172590408).

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

82092384 is a wasteful number, since it uses less digits than its factorization.

82092384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25940 (or 25929 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 82092384 is about 9060.4847552435. The cubic root of 82092384 is about 434.6112420496.

The spelling of 82092384 in words is "eighty-two million, ninety-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 25913 51826 77739 103652 155478 207304 233217 285043 310956 414608 466434 570086 621912 829216 855129 932868 1140172 1243824 1710258 1865736 2280344 2487648 2565387 3420516 3731472 4560688 5130774 6841032 7462944 9121376 10261548 13682064 20523096 27364128 41046192 82092384