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42684 = 2233557
BaseRepresentation
bin1010011010111100
32011112220
422122330
52331214
6525340
7235305
oct123274
964486
1042684
112a084
1220850
1316575
14117ac
15c9a9
hexa6bc

42684 has 12 divisors (see below), whose sum is σ = 99624. Its totient is φ = 14224.

The previous prime is 42683. The next prime is 42689. The reversal of 42684 is 48624.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×426843 = 233300993608512, which contains 333 as substring.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1767 + ... + 1790.

It is an arithmetic number, because the mean of its divisors is an integer number (8302).

242684 is an apocalyptic number.

It is an amenable number.

42684 is an abundant number, since it is smaller than the sum of its proper divisors (56940).

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 (49812).

42684 is a wasteful number, since it uses less digits than its factorization.

42684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564 (or 3562 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 42684 is about 206.6010648569. The cubic root of 42684 is about 34.9479498430.

The spelling of 42684 in words is "forty-two thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 12 3557 7114 10671 14228 21342 42684