Search a number
-
+
42294 = 2371953
BaseRepresentation
bin1010010100110110
32011000110
422110312
52323134
6523450
7234210
oct122466
964013
1042294
112985a
1220586
1316335
14115b0
15c7e9
hexa536

42294 has 32 divisors (see below), whose sum is σ = 103680. Its totient is φ = 11232.

The previous prime is 42293. The next prime is 42299. The reversal of 42294 is 49224.

42294 = T57 + T58 + ... + T75.

42294 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a plaindrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 42294.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 772 + ... + 824.

It is an arithmetic number, because the mean of its divisors is an integer number (3240).

242294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51840).

42294 is an abundant number, since it is smaller than the sum of its proper divisors (61386).

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

42294 is a wasteful number, since it uses less digits than its factorization.

42294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84.

The product of its digits is 576, while the sum is 21.

The square root of 42294 is about 205.6550509956. The cubic root of 42294 is about 34.8411852195.

The spelling of 42294 in words is "forty-two thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 53 57 106 114 133 159 266 318 371 399 742 798 1007 1113 2014 2226 3021 6042 7049 14098 21147 42294