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42036 = 22331113
BaseRepresentation
bin1010010000110100
32010122220
422100310
52321121
6522340
7233361
oct122064
963586
1042036
1129645
12203b0
1316197
1411468
15c6c6
hexa434

42036 has 24 divisors (see below), whose sum is σ = 102144. Its totient is φ = 13440.

The previous prime is 42023. The next prime is 42043. The reversal of 42036 is 63024.

It is an Ulam number.

42036 is an undulating number in base 15.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

42036 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316 + ... + 428.

It is an arithmetic number, because the mean of its divisors is an integer number (4256).

242036 is an apocalyptic number.

It is an amenable number.

42036 is an abundant number, since it is smaller than the sum of its proper divisors (60108).

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 (51072).

42036 is a wasteful number, since it uses less digits than its factorization.

42036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 42036 is about 205.0268275129. The cubic root of 42036 is about 34.7701951173.

The spelling of 42036 in words is "forty-two thousand, thirty-six", and thus it is an eban number.

Divisors: 1 2 3 4 6 12 31 62 93 113 124 186 226 339 372 452 678 1356 3503 7006 10509 14012 21018 42036