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84423808 = 277591597
BaseRepresentation
bin1010000100000…
…11010010000000
312212212011200201
411002003102000
5133103030213
612213254544
72043406360
oct502032200
9185764621
1084423808
1143722947
1224334454
131464bb21
14b2d89a0
1576296dd
hex5083480

84423808 has 64 divisors (see below), whose sum is σ = 195595200. Its totient is φ = 35546112.

The previous prime is 84423803. The next prime is 84423809. The reversal of 84423808 is 80832448.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (84423803) by changing a digit.

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, 52066 + ... + 53662.

It is an arithmetic number, because the mean of its divisors is an integer number (3056175).

Almost surely, 284423808 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 84423808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97797600).

84423808 is an abundant number, since it is smaller than the sum of its proper divisors (111171392).

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

84423808 is a wasteful number, since it uses less digits than its factorization.

84423808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 84423808 is about 9188.2429223437. The cubic root of 84423808 is about 438.6872165529.

The spelling of 84423808 in words is "eighty-four million, four hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 128 224 236 413 448 472 826 896 944 1597 1652 1888 3194 3304 3776 6388 6608 7552 11179 12776 13216 22358 25552 26432 44716 51104 52864 89432 94223 102208 178864 188446 204416 357728 376892 659561 715456 753784 1319122 1430912 1507568 2638244 3015136 5276488 6030272 10552976 12060544 21105952 42211904 84423808