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84256016 = 24133173179
BaseRepresentation
bin1010000010110…
…10010100010000
312212112122112012
411001122110100
5133032143031
612205522052
72042110235
oct501322420
9185478465
1084256016
1143618879
1224273328
13145c0640
14b29378c
1575e4b2b
hex505a510

84256016 has 80 divisors (see below), whose sum is σ = 184988160. Its totient is φ = 36910080.

The previous prime is 84256001. The next prime is 84256027. The reversal of 84256016 is 61065248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 470615 + ... + 470793.

It is an arithmetic number, because the mean of its divisors is an integer number (2312352).

Almost surely, 284256016 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 84256016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92494080).

84256016 is an abundant number, since it is smaller than the sum of its proper divisors (100732144).

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

84256016 is a wasteful number, since it uses less digits than its factorization.

84256016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 84256016 is about 9179.1075818949. The cubic root of 84256016 is about 438.3963940688.

It can be divided in two parts, 8425 and 6016, that added together give a palindrome (14441).

The spelling of 84256016 in words is "eighty-four million, two hundred fifty-six thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 31 52 62 73 104 124 146 179 208 248 292 358 403 496 584 716 806 949 1168 1432 1612 1898 2263 2327 2864 3224 3796 4526 4654 5549 6448 7592 9052 9308 11098 13067 15184 18104 18616 22196 26134 29419 36208 37232 44392 52268 58838 72137 88784 104536 117676 144274 169871 209072 235352 288548 339742 405077 470704 577096 679484 810154 1154192 1358968 1620308 2717936 3240616 5266001 6481232 10532002 21064004 42128008 84256016