Search a number
-
+
624042 = 23237937
BaseRepresentation
bin10011000010110101010
31011201000200
42120112222
5124432132
621213030
75206236
oct2302652
91151020
10624042
11396941
12261176
1318b073
141235c6
15c4d7c
hex985aa

624042 has 24 divisors (see below), whose sum is σ = 1390116. Its totient is φ = 202176.

The previous prime is 624037. The next prime is 624047. The reversal of 624042 is 240426.

624042 is a `hidden beast` number, since 624 + 0 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (624037) and next prime (624047).

It can be written as a sum of positive squares in 2 ways, for example, as 622521 + 1521 = 789^2 + 39^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 624042.

It is not an unprimeable number, because it can be changed into a prime (624047) by changing a digit.

624042 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 11 ways as a sum of consecutive naturals, for example, 198 + ... + 1134.

2624042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 624042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695058).

624042 is an abundant number, since it is smaller than the sum of its proper divisors (766074).

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

624042 is a wasteful number, since it uses less digits than its factorization.

624042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 624042 is about 789.9632902863. The cubic root of 624042 is about 85.4550908096.

Adding to 624042 its product of nonzero digits (384), we get a palindrome (624426).

Adding to 624042 its reverse (240426), we get a palindrome (864468).

The spelling of 624042 in words is "six hundred twenty-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 937 1874 2811 5622 8433 16866 34669 69338 104007 208014 312021 624042