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525566052 = 2232112415507
BaseRepresentation
bin11111010100111…
…000000001100100
31100121221112002100
4133110320001210
52034021103202
6124052412100
716011144354
oct3724700144
91317845070
10525566052
1124a739610
12128017030
1384b66b3b
144db2cb64
153121841c
hex1f538064

525566052 has 72 divisors (see below), whose sum is σ = 1455566112. Its totient is φ = 158572800.

The previous prime is 525566047. The next prime is 525566059. The reversal of 525566052 is 250665525.

525566052 is a `hidden beast` number, since 52 + 556 + 6 + 0 + 52 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 525565998 and 525566016.

It is not an unprimeable number, because it can be changed into a prime (525566059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92683 + ... + 98189.

It is an arithmetic number, because the mean of its divisors is an integer number (20216196).

Almost surely, 2525566052 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 525566052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727783056).

525566052 is an abundant number, since it is smaller than the sum of its proper divisors (930000060).

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

525566052 is a wasteful number, since it uses less digits than its factorization.

525566052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5769 (or 5764 counting only the distinct ones).

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

The square root of 525566052 is about 22925.2274143573. The cubic root of 525566052 is about 807.0041504649.

The spelling of 525566052 in words is "five hundred twenty-five million, five hundred sixty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 241 396 482 723 964 1446 2169 2651 2892 4338 5302 5507 7953 8676 10604 11014 15906 16521 22028 23859 31812 33042 47718 49563 60577 66084 95436 99126 121154 181731 198252 242308 363462 545193 726924 1090386 1327187 2180772 2654374 3981561 5308748 7963122 11944683 14599057 15926244 23889366 29198114 43797171 47778732 58396228 87594342 131391513 175188684 262783026 525566052