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84327936 = 2937112331
BaseRepresentation
bin1010000011010…
…11111000000000
312212200022011220
411001223320000
5133041443221
612211235040
72042530020
oct501537000
9185608156
1084327936
1143667910
12242a8a80
13146172b4
14b2b1a80
15760b0c6
hex506be00

84327936 has 320 divisors, whose sum is σ = 301694976. Its totient is φ = 20275200.

The previous prime is 84327931. The next prime is 84327937. The reversal of 84327936 is 63972348.

It is a super-2 number, since 2×843279362 = 14222401580040192, 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 not an unprimeable number, because it can be changed into a prime (84327931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2720241 + ... + 2720271.

Almost surely, 284327936 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 84327936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150847488).

84327936 is an abundant number, since it is smaller than the sum of its proper divisors (217367040).

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

84327936 is a wasteful number, since it uses less digits than its factorization.

84327936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 77 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 84327936 is about 9183.0243384192. The cubic root of 84327936 is about 438.5210953595.

The spelling of 84327936 in words is "eighty-four million, three hundred twenty-seven thousand, nine hundred thirty-six".