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84280096 = 2523307373
BaseRepresentation
bin1010000011000…
…00001100100000
312212120212120001
411001200030200
5133033430341
612210225344
72042240365
oct501401440
9185525501
1084280096
114363497a
1224285254
13145cb5a4
14b29c46c
1575ebd31
hex5060320

84280096 has 48 divisors (see below), whose sum is σ = 174170304. Its totient is φ = 40068864.

The previous prime is 84280039. The next prime is 84280111. The reversal of 84280096 is 69008248.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225766 + ... + 226138.

It is an arithmetic number, because the mean of its divisors is an integer number (3628548).

Almost surely, 284280096 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 84280096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87085152).

84280096 is an abundant number, since it is smaller than the sum of its proper divisors (89890208).

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

84280096 is a wasteful number, since it uses less digits than its factorization.

84280096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 84280096 is about 9180.4191625437. The cubic root of 84280096 is about 438.4381540133.

The spelling of 84280096 in words is "eighty-four million, two hundred eighty thousand, ninety-six".

Divisors: 1 2 4 8 16 23 32 46 92 184 307 368 373 614 736 746 1228 1492 2456 2984 4912 5968 7061 8579 9824 11936 14122 17158 28244 34316 56488 68632 112976 114511 137264 225952 229022 274528 458044 916088 1832176 2633753 3664352 5267506 10535012 21070024 42140048 84280096