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84097431 = 32113072767
BaseRepresentation
bin1010000001100…
…11100110010111
312212020120222200
411000303212113
5133012104211
612202255543
72040550005
oct500634627
9185216880
1084097431
114351a710
12241b75b3
13145663c2
14b251a75
1575b2b56
hex5033997

84097431 has 24 divisors (see below), whose sum is σ = 132996864. Its totient is φ = 50783760.

The previous prime is 84097417. The next prime is 84097457. The reversal of 84097431 is 13479048.

It is a happy number.

It is not a de Polignac number, because 84097431 - 26 = 84097367 is a prime.

It is a super-2 number, since 2×840974312 = 14144755801599522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84097471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29010 + ... + 31776.

It is an arithmetic number, because the mean of its divisors is an integer number (5541536).

Almost surely, 284097431 is an apocalyptic number.

84097431 is a deficient number, since it is larger than the sum of its proper divisors (48899433).

84097431 is a wasteful number, since it uses less digits than its factorization.

84097431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 84097431 is about 9170.4651463271. The cubic root of 84097431 is about 438.1211743300.

The spelling of 84097431 in words is "eighty-four million, ninety-seven thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 99 307 921 2763 2767 3377 8301 10131 24903 30393 30437 91311 273933 849469 2548407 7645221 9344159 28032477 84097431