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523436540 = 2251110123557
BaseRepresentation
bin11111001100110…
…000000111111100
31100110221022221112
4133030300013330
52032444432130
6123535021152
715654065024
oct3714600774
91313838845
10523436540
11249514690
1212736a7b8
138459c783
144d736a84
1530e47495
hex1f3301fc

523436540 has 48 divisors (see below), whose sum is σ = 1211069664. Its totient is φ = 188448000.

The previous prime is 523436503. The next prime is 523436561. The reversal of 523436540 is 45634325.

It is a super-2 number, since 2×5234365402 = 547971622814343200, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 523436497 and 523436506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10442 + ... + 33998.

It is an arithmetic number, because the mean of its divisors is an integer number (25230618).

Almost surely, 2523436540 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 523436540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605534832).

523436540 is an abundant number, since it is smaller than the sum of its proper divisors (687633124).

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

523436540 is a wasteful number, since it uses less digits than its factorization.

523436540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23678 (or 23676 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The square root of 523436540 is about 22878.7355419831. The cubic root of 523436540 is about 805.9127232184.

The spelling of 523436540 in words is "five hundred twenty-three million, four hundred thirty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 22220 23557 47114 94228 117785 235570 259127 471140 518254 1036508 1295635 2379257 2591270 4758514 5182540 9517028 11896285 23792570 26171827 47585140 52343654 104687308 130859135 261718270 523436540