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84214736 = 2417409757
BaseRepresentation
bin1010000010100…
…00001111010000
312212110112220022
411001100033100
5133024332421
612205003012
72041546004
oct501201720
9185415808
1084214736
114359a861
1224253468
13145a7908
14b282704
1575d77ab
hex50503d0

84214736 has 40 divisors (see below), whose sum is σ = 173415240. Its totient is φ = 39481344.

The previous prime is 84214727. The next prime is 84214759. The reversal of 84214736 is 63741248.

It can be written as a sum of positive squares in 4 ways, for example, as 47004736 + 37210000 = 6856^2 + 6100^2 .

It is a junction number, because it is equal to n+sod(n) for n = 84214696 and 84214705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110870 + ... + 111626.

It is an arithmetic number, because the mean of its divisors is an integer number (4335381).

Almost surely, 284214736 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 84214736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86707620).

84214736 is an abundant number, since it is smaller than the sum of its proper divisors (89200504).

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

84214736 is a wasteful number, since it uses less digits than its factorization.

84214736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1185 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 84214736 is about 9176.8587218067. The cubic root of 84214736 is about 438.3247870775.

The spelling of 84214736 in words is "eighty-four million, two hundred fourteen thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 409 757 818 1514 1636 3028 3272 6056 6544 6953 12112 12869 13906 25738 27812 51476 55624 102952 111248 205904 309613 619226 1238452 2476904 4953808 5263421 10526842 21053684 42107368 84214736