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565526052 = 223273132271
BaseRepresentation
bin100001101101010…
…011111000100100
31110102010200220100
4201231103320210
52124233313202
6132041104100
720004615000
oct4155237044
91412120810
10565526052
11270252103
12139488030
1390218400
1455171700
15349ad41c
hex21b53e24

565526052 has 216 divisors, whose sum is σ = 1811846400. Its totient is φ = 148599360.

The previous prime is 565526041. The next prime is 565526057. The reversal of 565526052 is 250625565.

565526052 is a `hidden beast` number, since 56 + 552 + 6 + 0 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 565525998 and 565526016.

It is not an unprimeable number, because it can be changed into a prime (565526057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2086677 + ... + 2086947.

Almost surely, 2565526052 is an apocalyptic number.

565526052 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 565526052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905923200).

565526052 is an abundant number, since it is smaller than the sum of its proper divisors (1246320348).

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

565526052 is a wasteful number, since it uses less digits than its factorization.

565526052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 565526052 is about 23780.7916604978. The cubic root of 565526052 is about 826.9594328832.

The spelling of 565526052 in words is "five hundred sixty-five million, five hundred twenty-six thousand, fifty-two".