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84813512 = 2372232409
BaseRepresentation
bin1010000111000…
…10011011001000
312220120222021012
411003202123020
5133203013022
612225503052
72046621500
oct503423310
9186528235
1084813512
1143969713
12244a1a88
1314757314
14b39aa00
1576a4de2
hex50e26c8

84813512 has 72 divisors (see below), whose sum is σ = 193854150. Its totient is φ = 34683264.

The previous prime is 84813497. The next prime is 84813541. The reversal of 84813512 is 21531848.

It can be written as a sum of positive squares in only one way, i.e., 54848836 + 29964676 = 7406^2 + 5474^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 207164 + ... + 207572.

Almost surely, 284813512 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 84813512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96927075).

84813512 is an abundant number, since it is smaller than the sum of its proper divisors (109040638).

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

84813512 is a wasteful number, since it uses less digits than its factorization.

84813512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 441 counting only the distinct ones).

The product of its digits is 7680, while the sum is 32.

The square root of 84813512 is about 9209.4251720724. The cubic root of 84813512 is about 439.3611804085.

The spelling of 84813512 in words is "eighty-four million, eight hundred thirteen thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 92 98 161 184 196 322 392 409 529 644 818 1058 1127 1288 1636 2116 2254 2863 3272 3703 4232 4508 5726 7406 9016 9407 11452 14812 18814 20041 22904 25921 29624 37628 40082 51842 65849 75256 80164 103684 131698 160328 207368 216361 263396 432722 460943 526792 865444 921886 1514527 1730888 1843772 3029054 3687544 6058108 10601689 12116216 21203378 42406756 84813512