Search a number
-
+
84863712 = 2535914983
BaseRepresentation
bin1010000111011…
…10101011100000
312220200112010110
411003232223200
5133211114322
612230531320
72050221033
oct503565340
9186615113
1084863712
11439a33aa
1224506b40
131477411b
14b3b101a
1576b4c0c
hex50eeae0

84863712 has 48 divisors (see below), whose sum is σ = 226558080. Its totient is φ = 27806592.

The previous prime is 84863699. The next prime is 84863719. The reversal of 84863712 is 21736848.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×848637122 = 14403699228837888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84863719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1828 + ... + 13155.

It is an arithmetic number, because the mean of its divisors is an integer number (4719960).

Almost surely, 284863712 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 84863712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113279040).

84863712 is an abundant number, since it is smaller than the sum of its proper divisors (141694368).

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

84863712 is a wasteful number, since it uses less digits than its factorization.

84863712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15055 (or 15047 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 84863712 is about 9212.1502375938. The cubic root of 84863712 is about 439.4478473426.

The spelling of 84863712 in words is "eighty-four million, eight hundred sixty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 14983 29966 44949 59932 89898 119864 179796 239728 359592 479456 719184 883997 1438368 1767994 2651991 3535988 5303982 7071976 10607964 14143952 21215928 28287904 42431856 84863712