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84482892 = 223313193167
BaseRepresentation
bin1010000100100…
…01101101001100
312212222011202000
411002101231030
5133111423032
612214432300
72044043544
oct502215514
9185864660
1084482892
114376327a
1224362690
131466c9a0
14b312324
15763be7c
hex5091b4c

84482892 has 96 divisors (see below), whose sum is σ = 248371200. Its totient is φ = 24618816.

The previous prime is 84482891. The next prime is 84482899. The reversal of 84482892 is 29828448.

It is a happy number.

84482892 is a `hidden beast` number, since 84 + 482 + 8 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (84482891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25093 + ... + 28259.

It is an arithmetic number, because the mean of its divisors is an integer number (2587200).

Almost surely, 284482892 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 84482892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124185600).

84482892 is an abundant number, since it is smaller than the sum of its proper divisors (163888308).

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

84482892 is a wasteful number, since it uses less digits than its factorization.

84482892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212 (or 3204 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 84482892 is about 9191.4575557960. The cubic root of 84482892 is about 438.7895311010.

The spelling of 84482892 in words is "eighty-four million, four hundred eighty-two thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 108 114 117 156 171 228 234 247 342 351 468 494 513 684 702 741 988 1026 1404 1482 2052 2223 2964 3167 4446 6334 6669 8892 9501 12668 13338 19002 26676 28503 38004 41171 57006 60173 82342 85509 114012 120346 123513 164684 171018 180519 240692 247026 342036 361038 370539 494052 541557 722076 741078 782249 1083114 1111617 1482156 1564498 1624671 2166228 2223234 2346747 3128996 3249342 4446468 4693494 6498684 7040241 9386988 14080482 21120723 28160964 42241446 84482892