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84427304 = 2313172532
BaseRepresentation
bin1010000100001…
…00001000101000
312212212100111012
411002010020220
5133103133204
612213323052
72043422513
oct502041050
9185770435
1084427304
1143725535
1224336488
13146505b0
14b2d9d7a
15762a76e
hex5084228

84427304 has 72 divisors (see below), whose sum is σ = 184577610. Its totient is φ = 35982336.

The previous prime is 84427261. The next prime is 84427309. The reversal of 84427304 is 40372448.

It can be written as a sum of positive squares in 9 ways, for example, as 36844900 + 47582404 = 6070^2 + 6898^2 .

It is not an unprimeable number, because it can be changed into a prime (84427309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1592942 + ... + 1592994.

Almost surely, 284427304 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 84427304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92288805).

84427304 is an abundant number, since it is smaller than the sum of its proper divisors (100150306).

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

84427304 is a wasteful number, since it uses less digits than its factorization.

84427304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 84427304 is about 9188.4331634942. The cubic root of 84427304 is about 438.6932718328.

The spelling of 84427304 in words is "eighty-four million, four hundred twenty-seven thousand, three hundred four".

Divisors: 1 2 4 8 13 17 26 34 52 53 68 104 106 136 212 221 289 424 442 578 689 884 901 1156 1378 1768 1802 2312 2756 2809 3604 3757 5512 5618 7208 7514 11236 11713 15028 15317 22472 23426 30056 30634 36517 46852 47753 61268 73034 93704 95506 122536 146068 191012 199121 292136 382024 398242 620789 796484 811801 1241578 1592968 1623602 2483156 3247204 4966312 6494408 10553413 21106826 42213652 84427304