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84279006 = 23273132137
BaseRepresentation
bin1010000010111…
…11111011011110
312212120211001200
411001133323132
5133033412011
612210220330
72042234250
oct501377336
9185524050
1084279006
1143634079
12242846a6
13145cac46
14b29bcd0
1575eb856
hex505fede

84279006 has 48 divisors (see below), whose sum is σ = 209455584. Its totient is φ = 23991552.

The previous prime is 84279001. The next prime is 84279073. The reversal of 84279006 is 60097248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84279001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38370 + ... + 40506.

It is an arithmetic number, because the mean of its divisors is an integer number (4363658).

Almost surely, 284279006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84279006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104727792).

84279006 is an abundant number, since it is smaller than the sum of its proper divisors (125176578).

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

84279006 is a wasteful number, since it uses less digits than its factorization.

84279006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 84279006 is about 9180.3597968707. The cubic root of 84279006 is about 438.4362638887.

The spelling of 84279006 in words is "eighty-four million, two hundred seventy-nine thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 313 626 939 1878 2137 2191 2817 4274 4382 5634 6411 6573 12822 13146 14959 19233 19719 29918 38466 39438 44877 89754 134631 269262 668881 1337762 2006643 4013286 4682167 6019929 9364334 12039858 14046501 28093002 42139503 84279006