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84263634 = 23272137349
BaseRepresentation
bin1010000010111…
…00001011010010
312212120000222100
411001130023102
5133032414014
612210021230
72042141400
oct501341322
9185500870
1084263634
1143623574
1224277816
13145c3c50
14b296470
1575e7009
hex505c2d2

84263634 has 72 divisors (see below), whose sum is σ = 228746700. Its totient is φ = 22220352.

The previous prime is 84263633. The next prime is 84263639. The reversal of 84263634 is 43636248.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 83448225 + 815409 = 9135^2 + 903^2 .

It is not an unprimeable number, because it can be changed into a prime (84263633) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 7792 + ... + 15140.

Almost surely, 284263634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84263634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114373350).

84263634 is an abundant number, since it is smaller than the sum of its proper divisors (144483066).

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

84263634 is a wasteful number, since it uses less digits than its factorization.

84263634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7384 (or 7374 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 84263634 is about 9179.5225366029. The cubic root of 84263634 is about 438.4096061939.

The spelling of 84263634 in words is "eighty-four million, two hundred sixty-three thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1274 1638 1911 3822 5733 7349 11466 14698 22047 44094 51443 66141 95537 102886 132282 154329 191074 286611 308658 360101 462987 573222 668759 720202 859833 925974 1080303 1337518 1719666 2006277 2160606 3240909 4012554 4681313 6018831 6481818 9362626 12037662 14043939 28087878 42131817 84263634