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86848420 = 22523318637
BaseRepresentation
bin1010010110100…
…11001110100100
320001102100122011
411023103032210
5134213122140
612341244004
72103125251
oct513231644
9201370564
1086848420
114502955a
1225103604
1314cba5c9
14b76a428
157957cea
hex52d33a4

86848420 has 24 divisors (see below), whose sum is σ = 183174264. Its totient is φ = 34588416.

The previous prime is 86848409. The next prime is 86848439. The reversal of 86848420 is 2484868.

It can be written as a sum of positive squares in 4 ways, for example, as 3564544 + 83283876 = 1888^2 + 9126^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4659 + ... + 13978.

It is an arithmetic number, because the mean of its divisors is an integer number (7632261).

Almost surely, 286848420 is an apocalyptic number.

86848420 is the 4660-th decagonal number.

It is an amenable number.

86848420 is an abundant number, since it is smaller than the sum of its proper divisors (96325844).

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

86848420 is a wasteful number, since it uses less digits than its factorization.

86848420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18879 (or 18877 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 86848420 is about 9319.2499698205. The cubic root of 86848420 is about 442.8472722640.

The spelling of 86848420 in words is "eighty-six million, eight hundred forty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 233 466 932 1165 2330 4660 18637 37274 74548 93185 186370 372740 4342421 8684842 17369684 21712105 43424210 86848420