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84993636 = 223721311119
BaseRepresentation
bin1010001000011…
…10011001100100
312220221010100110
411010032121210
5133224244021
612233413020
72051301600
oct504163144
9186833313
1084993636
1143a81a82
122456a170
13147bb2c0
14b406500
1576dd476
hex510e664

84993636 has 72 divisors (see below), whose sum is σ = 248465280. Its totient is φ = 22413888.

The previous prime is 84993619. The next prime is 84993637. The reversal of 84993636 is 63639948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84993637) 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 23 ways as a sum of consecutive naturals, for example, 2085 + ... + 13203.

Almost surely, 284993636 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 84993636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124232640).

84993636 is an abundant number, since it is smaller than the sum of its proper divisors (163471644).

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

84993636 is a wasteful number, since it uses less digits than its factorization.

84993636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11153 (or 11144 counting only the distinct ones).

The product of its digits is 839808, while the sum is 48.

The square root of 84993636 is about 9219.1993144741. The cubic root of 84993636 is about 439.6719938345.

The spelling of 84993636 in words is "eighty-four million, nine hundred ninety-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 7644 11119 22238 33357 44476 66714 77833 133428 144547 155666 233499 289094 311332 433641 466998 544831 578188 867282 933996 1011829 1089662 1634493 1734564 2023658 2179324 3035487 3268986 4047316 6070974 6537972 7082803 12141948 14165606 21248409 28331212 42496818 84993636