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525585090 = 235172334423
BaseRepresentation
bin11111010100111…
…100101011000010
31100121222111012110
4133110330223002
52034022210330
6124053040150
716011254022
oct3724745302
91317874173
10525585090
1124a751948
12128026056
1384b726c4
144db35a82
153121ddb0
hex1f53cac2

525585090 has 64 divisors (see below), whose sum is σ = 1341639936. Its totient is φ = 131315712.

The previous prime is 525585079. The next prime is 525585101. The reversal of 525585090 is 90585525.

It is an interprime number because it is at equal distance from previous prime (525585079) and next prime (525585101).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116619 + ... + 121041.

It is an arithmetic number, because the mean of its divisors is an integer number (20963124).

Almost surely, 2525585090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525585090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670819968).

525585090 is an abundant number, since it is smaller than the sum of its proper divisors (816054846).

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

525585090 is a wasteful number, since it uses less digits than its factorization.

525585090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4683.

The product of its (nonzero) digits is 90000, while the sum is 39.

The square root of 525585090 is about 22925.6426300333. The cubic root of 525585090 is about 807.0138945998.

The spelling of 525585090 in words is "five hundred twenty-five million, five hundred eighty-five thousand, ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 233 255 466 510 699 1165 1398 2330 3495 3961 4423 6990 7922 8846 11883 13269 19805 22115 23766 26538 39610 44230 59415 66345 75191 118830 132690 150382 225573 375955 451146 751910 1030559 1127865 2061118 2255730 3091677 5152795 6183354 10305590 15458385 17519503 30916770 35039006 52558509 87597515 105117018 175195030 262792545 525585090