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531457640 = 235737431193
BaseRepresentation
bin11111101011010…
…110011001101000
31101001000211211022
4133223112121220
52042023121030
6124422552012
716112213120
oct3753263150
91331024738
10531457640
11252aa2a9a
12129b98608
138614a69c
1450823c80
15319cdde5
hex1fad6668

531457640 has 128 divisors (see below), whose sum is σ = 1437384960. Its totient is φ = 173021184.

The previous prime is 531457631. The next prime is 531457643. The reversal of 531457640 is 46754135.

It is a super-2 number, since 2×5314576402 = 564894446228739200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 531457640.

It is not an unprimeable number, because it can be changed into a prime (531457643) 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 31 ways as a sum of consecutive naturals, for example, 444884 + ... + 446076.

It is an arithmetic number, because the mean of its divisors is an integer number (11229570).

Almost surely, 2531457640 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 531457640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718692480).

531457640 is an abundant number, since it is smaller than the sum of its proper divisors (905927320).

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

531457640 is a wasteful number, since it uses less digits than its factorization.

531457640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 531457640 is about 23053.3650472117. The cubic root of 531457640 is about 810.0084539076.

The spelling of 531457640 in words is "five hundred thirty-one million, four hundred fifty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 43 56 70 74 86 140 148 172 185 215 259 280 296 301 344 370 430 518 602 740 860 1036 1193 1204 1295 1480 1505 1591 1720 2072 2386 2408 2590 3010 3182 4772 5180 5965 6020 6364 7955 8351 9544 10360 11137 11930 12040 12728 15910 16702 22274 23860 31820 33404 41755 44141 44548 47720 51299 55685 63640 66808 83510 88282 89096 102598 111370 167020 176564 205196 220705 222740 256495 308987 334040 353128 359093 410392 441410 445480 512990 617974 718186 882820 1025980 1235948 1436372 1544935 1765640 1795465 1898063 2051960 2471896 2872744 3089870 3590930 3796126 6179740 7181860 7592252 9490315 12359480 13286441 14363720 15184504 18980630 26572882 37961260 53145764 66432205 75922520 106291528 132864410 265728820 531457640