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84784864 = 2529211433
BaseRepresentation
bin1010000110110…
…11011011100000
312220112111222011
411003123123200
5133201103424
612225122304
72046442123
oct503333340
9186474864
1084784864
114394a13a
1224489394
1314747278
14b3903ba
15769b694
hex50db6e0

84784864 has 48 divisors (see below), whose sum is σ = 173895120. Its totient is φ = 40642560.

The previous prime is 84784853. The next prime is 84784879. The reversal of 84784864 is 46848748.

It is a congruent number.

It is an unprimeable number.

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, 195592 + ... + 196024.

It is an arithmetic number, because the mean of its divisors is an integer number (3622815).

Almost surely, 284784864 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 84784864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86947560).

84784864 is an abundant number, since it is smaller than the sum of its proper divisors (89110256).

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

84784864 is a wasteful number, since it uses less digits than its factorization.

84784864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 675 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 49.

The square root of 84784864 is about 9207.8696776182. The cubic root of 84784864 is about 439.3117062299.

The spelling of 84784864 in words is "eighty-four million, seven hundred eighty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 116 211 232 422 433 464 844 866 928 1688 1732 3376 3464 6119 6752 6928 12238 12557 13856 24476 25114 48952 50228 91363 97904 100456 182726 195808 200912 365452 401824 730904 1461808 2649527 2923616 5299054 10598108 21196216 42392432 84784864