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531344440 = 235111936257
BaseRepresentation
bin11111101010111…
…010110000111000
31101000211002112201
4133222322300320
52042011010230
6124420315544
716111232104
oct3752726070
91330732481
10531344440
11252a25a40
12129b42bb4
138610acc3
14507d4904
15319aa5ca
hex1fabac38

531344440 has 64 divisors (see below), whose sum is σ = 1311176160. Its totient is φ = 192184320.

The previous prime is 531344431. The next prime is 531344449. The reversal of 531344440 is 44443135.

It is an interprime number because it is at equal distance from previous prime (531344431) and next prime (531344449).

It is a junction number, because it is equal to n+sod(n) for n = 531344399 and 531344408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531344449) 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, 81792 + ... + 88048.

Almost surely, 2531344440 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 531344440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655588080).

531344440 is an abundant number, since it is smaller than the sum of its proper divisors (779831720).

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

531344440 is a wasteful number, since it uses less digits than its factorization.

531344440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6472 (or 6468 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 531344440 is about 23050.9097434353. The cubic root of 531344440 is about 809.9509394662.

Adding to 531344440 its reverse (44443135), we get a palindrome (575787575).

The spelling of 531344440 in words is "five hundred thirty-one million, three hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 193 220 386 440 772 965 1544 1930 2123 3860 4246 6257 7720 8492 10615 12514 16984 21230 25028 31285 42460 50056 62570 68827 84920 125140 137654 250280 275308 344135 550616 688270 1207601 1376540 2415202 2753080 4830404 6038005 9660808 12076010 13283611 24152020 26567222 48304040 53134444 66418055 106268888 132836110 265672220 531344440