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82840392 = 23321150561
BaseRepresentation
bin1001111000000…
…00101101001000
312202212201122200
410330000231020
5132201343032
612115320200
72024063115
oct474005510
9182781580
1082840392
1142841238
12238b0060
13142161ab
14b00590c
15741547c
hex4f00b48

82840392 has 24 divisors (see below), whose sum is σ = 224359590. Its totient is φ = 27613440.

The previous prime is 82840333. The next prime is 82840397. The reversal of 82840392 is 29304828.

It can be written as a sum of positive squares in only one way, i.e., 73513476 + 9326916 = 8574^2 + 3054^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (82840397) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 575209 + ... + 575352.

Almost surely, 282840392 is an apocalyptic number.

It is an amenable number.

82840392 is an abundant number, since it is smaller than the sum of its proper divisors (141519198).

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

82840392 is a wasteful number, since it uses less digits than its factorization.

82840392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150573 (or 1150566 counting only the distinct ones).

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

The square root of 82840392 is about 9101.6697369219. The cubic root of 82840392 is about 435.9272807486.

The spelling of 82840392 in words is "eighty-two million, eight hundred forty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1150561 2301122 3451683 4602244 6903366 9204488 10355049 13806732 20710098 27613464 41420196 82840392