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84347472 = 24311179397
BaseRepresentation
bin1010000011100…
…00101001010000
312212201021222110
411001300221100
5133043104342
612211505320
72042640666
oct501605120
9185637873
1084347472
1143680560
12242b8240
1314623161
14b2b8c36
157611c9c
hex5070a50

84347472 has 80 divisors (see below), whose sum is σ = 251716032. Its totient is φ = 24053760.

The previous prime is 84347443. The next prime is 84347477. The reversal of 84347472 is 27474348.

It is a super-2 number, since 2×843474722 = 14228992065581568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84347472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84347477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4278 + ... + 13674.

Almost surely, 284347472 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 84347472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125858016).

84347472 is an abundant number, since it is smaller than the sum of its proper divisors (167368560).

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

84347472 is a wasteful number, since it uses less digits than its factorization.

84347472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9436 (or 9430 counting only the distinct ones).

The product of its digits is 150528, while the sum is 39.

The square root of 84347472 is about 9184.0879786727. The cubic root of 84347472 is about 438.5549563671.

The spelling of 84347472 in words is "eighty-four million, three hundred forty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 2244 2992 4488 8976 9397 18794 28191 37588 56382 75176 103367 112764 150352 159749 206734 225528 310101 319498 413468 451056 479247 620202 638996 826936 958494 1240404 1277992 1653872 1757239 1916988 2480808 2555984 3514478 3833976 4961616 5271717 7028956 7667952 10543434 14057912 21086868 28115824 42173736 84347472