Search a number
-
+
4530042 = 23211137167
BaseRepresentation
bin10001010001111101111010
322112011001100
4101101331322
52124430132
6241032230
753335056
oct21217572
98464040
104530042
112614540
121625676
13c27bca
1485cc66
155e737c
hex451f7a

4530042 has 48 divisors (see below), whose sum is σ = 10850112. Its totient is φ = 1354560.

The previous prime is 4530023. The next prime is 4530067. The reversal of 4530042 is 2400354.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 4529997 and 4530024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27043 + ... + 27209.

It is an arithmetic number, because the mean of its divisors is an integer number (226044).

Almost surely, 24530042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4530042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425056).

4530042 is an abundant number, since it is smaller than the sum of its proper divisors (6320070).

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

4530042 is a wasteful number, since it uses less digits than its factorization.

4530042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 4530042 is about 2128.3895320171. The cubic root of 4530042 is about 165.4629423271.

Adding to 4530042 its reverse (2400354), we get a palindrome (6930396).

The spelling of 4530042 in words is "four million, five hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 137 167 198 274 334 411 501 822 1002 1233 1503 1507 1837 2466 3006 3014 3674 4521 5511 9042 11022 13563 16533 22879 27126 33066 45758 68637 137274 205911 251669 411822 503338 755007 1510014 2265021 4530042