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84849864 = 23311331971
BaseRepresentation
bin1010000111010…
…11010011001000
312220122211010120
411003223103020
5133210143424
612230343240
72050132461
oct503532310
9186584116
1084849864
1143993a60
12244bab20
131476aa28
14b3a9d68
1576b0a79
hex50eb4c8

84849864 has 64 divisors (see below), whose sum is σ = 232346880. Its totient is φ = 25608000.

The previous prime is 84849803. The next prime is 84849889. The reversal of 84849864 is 46894848.

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, 86899 + ... + 87869.

It is an arithmetic number, because the mean of its divisors is an integer number (3630420).

Almost surely, 284849864 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 84849864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116173440).

84849864 is an abundant number, since it is smaller than the sum of its proper divisors (147497016).

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

84849864 is a wasteful number, since it uses less digits than its factorization.

84849864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1318 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The square root of 84849864 is about 9211.3985908764. The cubic root of 84849864 is about 439.4239431135.

It can be divided in two parts, 84 and 849864, that added together give a palindrome (849948).

The spelling of 84849864 in words is "eighty-four million, eight hundred forty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 331 662 971 993 1324 1942 1986 2648 2913 3641 3884 3972 5826 7282 7768 7944 10681 10923 11652 14564 21362 21846 23304 29128 32043 42724 43692 64086 85448 87384 128172 256344 321401 642802 964203 1285604 1928406 2571208 3535411 3856812 7070822 7713624 10606233 14141644 21212466 28283288 42424932 84849864