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82829328 = 24316710333
BaseRepresentation
bin1001110111111…
…10000000010000
312202212011110220
410323332000100
5132201014303
612115153040
72024015631
oct473760020
9182764426
1082829328
114283399a
12238a5780
131421114a
14b001888
157412053
hex4efe010

82829328 has 40 divisors (see below), whose sum is σ = 215277888. Its totient is φ = 27441792.

The previous prime is 82829323. The next prime is 82829359. The reversal of 82829328 is 82392828.

It is a self number, because there is not a number n which added to its sum of digits gives 82829328.

It is not an unprimeable number, because it can be changed into a prime (82829323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2850 + ... + 13182.

Almost surely, 282829328 is an apocalyptic number.

It is an amenable number.

82829328 is an abundant number, since it is smaller than the sum of its proper divisors (132448560).

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

82829328 is a wasteful number, since it uses less digits than its factorization.

82829328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10511 (or 10505 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 82829328 is about 9101.0619160623. The cubic root of 82829328 is about 435.9078726875.

The spelling of 82829328 in words is "eighty-two million, eight hundred twenty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 167 334 501 668 1002 1336 2004 2672 4008 8016 10333 20666 30999 41332 61998 82664 123996 165328 247992 495984 1725611 3451222 5176833 6902444 10353666 13804888 20707332 27609776 41414664 82829328