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36426 = 2313467
BaseRepresentation
bin1000111001001010
31211222010
420321022
52131201
6440350
7211125
oct107112
954863
1036426
1125405
12190b6
1313770
14d3bc
15abd6
hex8e4a

36426 has 16 divisors (see below), whose sum is σ = 78624. Its totient is φ = 11184.

The previous prime is 36389. The next prime is 36433. The reversal of 36426 is 62463.

It is an Ulam number.

It is an unprimeable number.

36426 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (4914).

236426 is an apocalyptic number.

36426 is the 156-th pentagonal number.

36426 is an abundant number, since it is smaller than the sum of its proper divisors (42198).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312).

36426 is a wasteful number, since it uses less digits than its factorization.

36426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485.

The product of its digits is 864, while the sum is 21.

The square root of 36426 is about 190.8559666345. The cubic root of 36426 is about 33.1490047908.

Adding to 36426 its reverse (62463), we get a palindrome (98889).

The spelling of 36426 in words is "thirty-six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 78 467 934 1401 2802 6071 12142 18213 36426