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523448641 = 13721672
BaseRepresentation
bin11111001100110…
…011000101000001
31100110221221112201
4133030303011001
52033000324031
6123535153201
715654145222
oct3714630501
91313857481
10523448641
11249522791
12127375801
13845a5131
144d73b249
1530e4ad61
hex1f333141

523448641 has 9 divisors (see below), whose sum is σ = 530473699. Its totient is φ = 516516304.

The previous prime is 523448593. The next prime is 523448647. The reversal of 523448641 is 146844325.

The square root of 523448641 is 22879.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 307476225 + 215972416 = 17535^2 + 14696^2 .

It is not a de Polignac number, because 523448641 - 217 = 523317569 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 523448641.

It is not an unprimeable number, because it can be changed into a prime (523448647) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3134340 + ... + 3134506.

Almost surely, 2523448641 is an apocalyptic number.

523448641 is the 22879-th square number.

523448641 is the 11440-th centered octagonal number.

It is an amenable number.

523448641 is a deficient number, since it is larger than the sum of its proper divisors (7025058).

523448641 is an frugal number, since it uses more digits than its factorization.

523448641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 304 counting only the distinct ones).

The product of its digits is 92160, while the sum is 37.

The cubic root of 523448641 is about 805.9189336336.

The spelling of 523448641 in words is "five hundred twenty-three million, four hundred forty-eight thousand, six hundred forty-one".

Divisors: 1 137 167 18769 22879 27889 3134423 3820793 523448641