Search a number
-
+
42272724 = 223132331163
BaseRepresentation
bin1010000101000…
…0011111010100
32221112200021110
42201100133110
541310211344
64110015020
71022212044
oct241203724
987480243
1042272724
112195313a
12121a7470
1389b1160
145885724
153aa03b9
hex28507d4

42272724 has 48 divisors (see below), whose sum is σ = 106771392. Its totient is φ = 12940032.

The previous prime is 42272719. The next prime is 42272729. The reversal of 42272724 is 42727224.

Adding to 42272724 its reverse (42727224), we get a palindrome (84999948).

It is an interprime number because it is at equal distance from previous prime (42272719) and next prime (42272729).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42272691 and 42272700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42272729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35767 + ... + 36929.

It is an arithmetic number, because the mean of its divisors is an integer number (2224404).

It is a self-describing number.

Almost surely, 242272724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42272724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53385696).

42272724 is an abundant number, since it is smaller than the sum of its proper divisors (64498668).

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

42272724 is a wasteful number, since it uses less digits than its factorization.

42272724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1414 counting only the distinct ones).

The product of its digits is 12544, while the sum is 30.

The square root of 42272724 is about 6501.7477650244. The cubic root of 42272724 is about 348.3534195255.

The spelling of 42272724 in words is "forty-two million, two hundred seventy-two thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 233 466 699 932 1163 1398 2326 2796 3029 3489 4652 6058 6978 9087 12116 13956 15119 18174 30238 36348 45357 60476 90714 181428 270979 541958 812937 1083916 1625874 3251748 3522727 7045454 10568181 14090908 21136362 42272724