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527130252 = 2232117271831
BaseRepresentation
bin11111011010110…
…101111010001100
31100201212222202200
4133122311322030
52034421132002
6124150121500
716030350615
oct3732657214
91321788680
10527130252
11250607840
12128650290
1385293abc
1450018c0c
1531426b1c
hex1f6b5e8c

527130252 has 72 divisors (see below), whose sum is σ = 1456396032. Its totient is φ = 159429600.

The previous prime is 527130217. The next prime is 527130277. The reversal of 527130252 is 252031725.

527130252 is a `hidden beast` number, since 527 + 130 + 2 + 5 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286977 + ... + 288807.

Almost surely, 2527130252 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 527130252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728198016).

527130252 is an abundant number, since it is smaller than the sum of its proper divisors (929265780).

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

527130252 is a wasteful number, since it uses less digits than its factorization.

527130252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 527130252 is about 22959.3173243457. The cubic root of 527130252 is about 807.8039647122.

Adding to 527130252 its reverse (252031725), we get a palindrome (779161977).

The spelling of 527130252 in words is "five hundred twenty-seven million, one hundred thirty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 727 1454 1831 2181 2908 3662 4362 5493 6543 7324 7997 8724 10986 13086 15994 16479 20141 21972 23991 26172 31988 32958 40282 47982 60423 65916 71973 80564 95964 120846 143946 181269 241692 287892 362538 725076 1331137 2662274 3993411 5324548 7986822 11980233 14642507 15973644 23960466 29285014 43927521 47920932 58570028 87855042 131782563 175710084 263565126 527130252