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825001330 = 251710148049
BaseRepresentation
bin110001001011001…
…000010101110010
32010111101102001211
4301023020111302
53142200020310
6213510350334
726305252456
oct6113102562
92114342054
10825001330
1139376778a
121b035b3aa
13101bc788a
147b7d6666
154c664c8a
hex312c8572

825001330 has 32 divisors (see below), whose sum is σ = 1587956400. Its totient is φ = 307507200.

The previous prime is 825001291. The next prime is 825001369. The reversal of 825001330 is 33100528.

It is an interprime number because it is at equal distance from previous prime (825001291) and next prime (825001369).

It can be written as a sum of positive squares in 8 ways, for example, as 507555841 + 317445489 = 22529^2 + 17817^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6855 + ... + 41194.

Almost surely, 2825001330 is an apocalyptic number.

825001330 is a deficient number, since it is larger than the sum of its proper divisors (762955070).

825001330 is a wasteful number, since it uses less digits than its factorization.

825001330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48174.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 825001330 is about 28722.8363850091. The cubic root of 825001330 is about 937.8892316800.

Adding to 825001330 its reverse (33100528), we get a palindrome (858101858).

The spelling of 825001330 in words is "eight hundred twenty-five million, one thousand, three hundred thirty".

Divisors: 1 2 5 10 17 34 85 101 170 202 505 1010 1717 3434 8585 17170 48049 96098 240245 480490 816833 1633666 4084165 4852949 8168330 9705898 24264745 48529490 82500133 165000266 412500665 825001330