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825826395 = 35432515101
BaseRepresentation
bin110001001110010…
…001110001011011
32010112221022211210
4301032101301123
53142402421040
6213540154203
726315260062
oct6116216133
92115838753
10825826395
11394180659
121b0698963
13102126294
147b96d1d9
154c779480
hex31391c5b

825826395 has 32 divisors (see below), whose sum is σ = 1357703424. Its totient is φ = 428400000.

The previous prime is 825826381. The next prime is 825826409. The reversal of 825826395 is 593628528.

825826395 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (825826381) and next prime (825826409).

It is not a de Polignac number, because 825826395 - 29 = 825825883 is a prime.

It is a super-3 number, since 3×8258263953 (a number of 28 digits) contains 333 as substring.

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, 159345 + ... + 164445.

It is an arithmetic number, because the mean of its divisors is an integer number (42428232).

Almost surely, 2825826395 is an apocalyptic number.

825826395 is a deficient number, since it is larger than the sum of its proper divisors (531877029).

825826395 is a wasteful number, since it uses less digits than its factorization.

825826395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5403.

The product of its digits is 1036800, while the sum is 48.

The square root of 825826395 is about 28737.1953224388. The cubic root of 825826395 is about 938.2017813831.

The spelling of 825826395 in words is "eight hundred twenty-five million, eight hundred twenty-six thousand, three hundred ninety-five".

Divisors: 1 3 5 15 43 129 215 251 645 753 1255 3765 5101 10793 15303 25505 32379 53965 76515 161895 219343 658029 1096715 1280351 3290145 3841053 6401755 19205265 55055093 165165279 275275465 825826395