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87166422 = 2337892591
BaseRepresentation
bin1010011001000…
…00110111010110
320002000111212000
411030200313112
5134303311142
612352140130
72105621340
oct514406726
9202014760
1087166422
1145226472
1225237646
131509c285
14b810290
1579bc14c
hex5320dd6

87166422 has 64 divisors (see below), whose sum is σ = 223948800. Its totient is φ = 24615360.

The previous prime is 87166403. The next prime is 87166427. The reversal of 87166422 is 22466178.

87166422 is a `hidden beast` number, since 8 + 7 + 1 + 6 + 642 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87166427) 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 31 ways as a sum of consecutive naturals, for example, 32347 + ... + 34937.

It is an arithmetic number, because the mean of its divisors is an integer number (3499200).

Almost surely, 287166422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87166422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111974400).

87166422 is an abundant number, since it is smaller than the sum of its proper divisors (136782378).

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

87166422 is a wasteful number, since it uses less digits than its factorization.

87166422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 2692 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 87166422 is about 9336.2959464661. The cubic root of 87166422 is about 443.3871200625.

The spelling of 87166422 in words is "eighty-seven million, one hundred sixty-six thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 89 126 178 189 267 378 534 623 801 1246 1602 1869 2403 2591 3738 4806 5182 5607 7773 11214 15546 16821 18137 23319 33642 36274 46638 54411 69957 108822 139914 163233 230599 326466 461198 489699 691797 979398 1383594 1614193 2075391 3228386 4150782 4842579 6226173 9685158 12452346 14527737 29055474 43583211 87166422