Search a number
-
+
42434524 = 221119193263
BaseRepresentation
bin1010000111011…
…1111111011100
32221211220020001
42201313333130
541330401044
64113304044
71023454546
oct241677734
987756201
1042434524
1121a53760
1212265024
138a399b2
1458c8696
153ad32d4
hex2877fdc

42434524 has 48 divisors (see below), whose sum is σ = 86042880. Its totient is φ = 18109440.

The previous prime is 42434521. The next prime is 42434537. The reversal of 42434524 is 42543424.

It is a junction number, because it is equal to n+sod(n) for n = 42434492 and 42434501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42434521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161217 + ... + 161479.

It is an arithmetic number, because the mean of its divisors is an integer number (1792560).

Almost surely, 242434524 is an apocalyptic number.

42434524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42434524 is an abundant number, since it is smaller than the sum of its proper divisors (43608356).

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

42434524 is a wasteful number, since it uses less digits than its factorization.

42434524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 488 counting only the distinct ones).

The product of its digits is 15360, while the sum is 28.

The square root of 42434524 is about 6514.1786895970. The cubic root of 42434524 is about 348.7972977479.

Adding to 42434524 its reverse (42543424), we get a palindrome (84977948).

Subtracting 42434524 from its reverse (42543424), we obtain a square (108900 = 3302).

The spelling of 42434524 in words is "forty-two million, four hundred thirty-four thousand, five hundred twenty-four".

Divisors: 1 2 4 11 19 22 38 44 76 193 209 263 386 418 526 772 836 1052 2123 2893 3667 4246 4997 5786 7334 8492 9994 11572 14668 19988 40337 50759 54967 80674 101518 109934 161348 203036 219868 558349 964421 1116698 1928842 2233396 3857684 10608631 21217262 42434524