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84444990 = 23573791061
BaseRepresentation
bin1010000100010…
…00011100111110
312212220020202020
411002020130332
5133104214430
612213541010
72043525210
oct502103476
9185806666
1084444990
1143737853
1224344766
1314658666
14b3025b0
157630b10
hex508873e

84444990 has 64 divisors (see below), whose sum is σ = 232450560. Its totient is φ = 19232640.

The previous prime is 84444977. The next prime is 84445033. The reversal of 84444990 is 9944448.

It is a super-2 number, since 2×844449902 = 14261912672200200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79060 + ... + 80120.

It is an arithmetic number, because the mean of its divisors is an integer number (3632040).

Almost surely, 284444990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84444990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116225280).

84444990 is an abundant number, since it is smaller than the sum of its proper divisors (148005570).

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

84444990 is a wasteful number, since it uses less digits than its factorization.

84444990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457.

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 84444990 is about 9189.3955187488. The cubic root of 84444990 is about 438.7239024745.

The spelling of 84444990 in words is "eighty-four million, four hundred forty-four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 379 758 1061 1137 1895 2122 2274 2653 3183 3790 5305 5306 5685 6366 7427 7959 10610 11370 13265 14854 15915 15918 22281 26530 31830 37135 39795 44562 74270 79590 111405 222810 402119 804238 1206357 2010595 2412714 2814833 4021190 5629666 6031785 8444499 12063570 14074165 16888998 28148330 42222495 84444990