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527008968 = 23327319569
BaseRepresentation
bin11111011010011…
…000010011001000
31100201122211101200
4133122120103020
52034403241333
6124143344200
716026334203
oct3732302310
91321584350
10527008968
11250534702
121285b2060
1385250835
144ddc693a
1531400c13
hex1f6984c8

527008968 has 24 divisors (see below), whose sum is σ = 1427316150. Its totient is φ = 175669632.

The previous prime is 527008949. The next prime is 527008969. The reversal of 527008968 is 869800725.

It can be written as a sum of positive squares in only one way, i.e., 396089604 + 130919364 = 19902^2 + 11442^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (527008969) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3659713 + ... + 3659856.

Almost surely, 2527008968 is an apocalyptic number.

It is an amenable number.

527008968 is an abundant number, since it is smaller than the sum of its proper divisors (900307182).

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

527008968 is a wasteful number, since it uses less digits than its factorization.

527008968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7319581 (or 7319574 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 527008968 is about 22956.6758917749. The cubic root of 527008968 is about 807.7420058253.

The spelling of 527008968 in words is "five hundred twenty-seven million, eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 7319569 14639138 21958707 29278276 43917414 58556552 65876121 87834828 131752242 175669656 263504484 527008968