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84097888 = 257419157
BaseRepresentation
bin1010000001100…
…11101101100000
312212020121121121
411000303231200
5133012113023
612202302024
72040551230
oct500635540
9185217547
1084097888
114351aa96
12241b7914
1314566684
14b251cc0
1575b2d5d
hex5033b60

84097888 has 48 divisors (see below), whose sum is σ = 193856544. Its totient is φ = 35159040.

The previous prime is 84097859. The next prime is 84097889. The reversal of 84097888 is 88879048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84097889) 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 7 ways as a sum of consecutive naturals, for example, 4606 + ... + 13762.

It is an arithmetic number, because the mean of its divisors is an integer number (4038678).

Almost surely, 284097888 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 84097888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96928272).

84097888 is an abundant number, since it is smaller than the sum of its proper divisors (109758656).

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

84097888 is a wasteful number, since it uses less digits than its factorization.

84097888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9215 (or 9207 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 52.

The square root of 84097888 is about 9170.4900632409. The cubic root of 84097888 is about 438.1219679373.

The spelling of 84097888 in words is "eighty-four million, ninety-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 1148 1312 2296 4592 9157 9184 18314 36628 64099 73256 128198 146512 256396 293024 375437 512792 750874 1025584 1501748 2051168 2628059 3003496 5256118 6006992 10512236 12013984 21024472 42048944 84097888