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51442424 = 23112192797
BaseRepresentation
bin1100010000111…
…1001011111000
310120210112201222
43010033023320
5101132124144
65034331212
71163152625
oct304171370
9116715658
1051442424
1127046500
1215289b08
13a871b07
146b9134c
1547b22ee
hex310f2f8

51442424 has 48 divisors (see below), whose sum is σ = 111640200. Its totient is φ = 22144320.

The previous prime is 51442387. The next prime is 51442427. The reversal of 51442424 is 42424415.

51442424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 51442393 and 51442402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51442427) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16994 + ... + 19790.

Almost surely, 251442424 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 51442424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55820100).

51442424 is an abundant number, since it is smaller than the sum of its proper divisors (60197776).

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

51442424 is a wasteful number, since it uses less digits than its factorization.

51442424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2829 counting only the distinct ones).

The product of its digits is 5120, while the sum is 26.

The square root of 51442424 is about 7172.3374153758. The cubic root of 51442424 is about 371.9122427592.

Adding to 51442424 its reverse (42424415), we get a palindrome (93866839).

Subtracting from 51442424 its reverse (42424415), we obtain a square (9018009 = 30032).

The spelling of 51442424 in words is "fifty-one million, four hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 152 209 242 418 484 836 968 1672 2299 2797 4598 5594 9196 11188 18392 22376 30767 53143 61534 106286 123068 212572 246136 338437 425144 584573 676874 1169146 1353748 2338292 2707496 4676584 6430303 12860606 25721212 51442424