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84114432 = 210329127
BaseRepresentation
bin1010000001101…
…11110000000000
312212021110022100
411000313300000
5133013130212
612202510400
72040650403
oct500676000
9185243270
1084114432
1143531466
1224205400
131457106c
14b257d3a
1575b7bdc
hex5037c00

84114432 has 66 divisors (see below), whose sum is σ = 242905208. Its totient is φ = 28035072.

The previous prime is 84114421. The next prime is 84114449. The reversal of 84114432 is 23441148.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 84114396 and 84114405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4653 + ... + 13779.

Almost surely, 284114432 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 84114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121452604).

84114432 is an abundant number, since it is smaller than the sum of its proper divisors (158790776).

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

84114432 is a wasteful number, since it uses less digits than its factorization.

84114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9153 (or 9132 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 84114432 is about 9171.3920426509. The cubic root of 84114432 is about 438.1506956290.

The spelling of 84114432 in words is "eighty-four million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9127 9216 18254 27381 36508 54762 73016 82143 109524 146032 164286 219048 292064 328572 438096 584128 657144 876192 1168256 1314288 1752384 2336512 2628576 3504768 4673024 5257152 7009536 9346048 10514304 14019072 21028608 28038144 42057216 84114432