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84142638 = 23719237
BaseRepresentation
bin1010000001111…
…10101000101110
312212022220000000
411000332220232
5133020031023
612203245130
72041125546
oct500765056
9185286000
1084142638
1143550678
12242197a6
1314580b58
14b264326
1575c1243
hex503ea2e

84142638 has 32 divisors (see below), whose sum is σ = 189301920. Its totient is φ = 28046088.

The previous prime is 84142637. The next prime is 84142651. The reversal of 84142638 is 83624148.

84142638 is a `hidden beast` number, since 8 + 4 + 14 + 2 + 638 = 666.

It is a super-3 number, since 3×841426383 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84142631) 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 15 ways as a sum of consecutive naturals, for example, 5245 + ... + 13992.

It is an arithmetic number, because the mean of its divisors is an integer number (5915685).

Almost surely, 284142638 is an apocalyptic number.

84142638 is an abundant number, since it is smaller than the sum of its proper divisors (105159282).

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

84142638 is an equidigital number, since it uses as much as digits as its factorization.

84142638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19260 (or 19242 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 84142638 is about 9172.9296301672. The cubic root of 84142638 is about 438.1996650194.

The spelling of 84142638 in words is "eighty-four million, one hundred forty-two thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 4374 19237 38474 57711 115422 173133 346266 519399 1038798 1558197 3116394 4674591 9349182 14023773 28047546 42071319 84142638