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523135460 = 225231636977
BaseRepresentation
bin11111001011100…
…110100111100100
31100110101000221102
4133023212213210
52032410313320
6123524335232
715651402161
oct3713464744
91313330842
10523135460
11249329461
12127244518
13844c5713
144d699068
1530dd8175
hex1f2e69e4

523135460 has 48 divisors (see below), whose sum is σ = 1153547136. Its totient is φ = 198899712.

The previous prime is 523135433. The next prime is 523135469. The reversal of 523135460 is 64531325.

It is not an unprimeable number, because it can be changed into a prime (523135469) 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, 71492 + ... + 78468.

It is an arithmetic number, because the mean of its divisors is an integer number (24032232).

Almost surely, 2523135460 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 523135460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576773568).

523135460 is an abundant number, since it is smaller than the sum of its proper divisors (630411676).

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

523135460 is a wasteful number, since it uses less digits than its factorization.

523135460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7172 (or 7170 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 523135460 is about 22872.1546864304. The cubic root of 523135460 is about 805.7581736077.

Adding to 523135460 its reverse (64531325), we get a palindrome (587666785).

The spelling of 523135460 in words is "five hundred twenty-three million, one hundred thirty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 163 230 326 460 652 815 1630 3260 3749 6977 7498 13954 14996 18745 27908 34885 37490 69770 74980 139540 160471 320942 641884 802355 1137251 1604710 2274502 3209420 4549004 5686255 11372510 22745020 26156773 52313546 104627092 130783865 261567730 523135460