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825273273 = 31125008281
BaseRepresentation
bin110001001100001…
…010101110111001
32010111220020002210
4301030022232321
53142232221043
6213520245333
726310464346
oct6114125671
92114806083
10825273273
11393933030
121b0470849
13101c915a6
147b8677cd
154c6ba633
hex3130abb9

825273273 has 8 divisors (see below), whose sum is σ = 1200397536. Its totient is φ = 500165600.

The previous prime is 825273269. The next prime is 825273277. The reversal of 825273273 is 372372528.

825273273 is digitally balanced in base 2, because in such base 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 (825273269) and next prime (825273277).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 825273273 - 22 = 825273269 is a prime.

It is not an unprimeable number, because it can be changed into a prime (825273277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12504108 + ... + 12504173.

It is an arithmetic number, because the mean of its divisors is an integer number (150049692).

Almost surely, 2825273273 is an apocalyptic number.

It is an amenable number.

825273273 is a deficient number, since it is larger than the sum of its proper divisors (375124263).

825273273 is a wasteful number, since it uses less digits than its factorization.

825273273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25008295.

The product of its digits is 141120, while the sum is 39.

The square root of 825273273 is about 28727.5699111498. The cubic root of 825273273 is about 937.9922716724.

It can be divided in two parts, 825 and 273273, that multiplied together give a square (225450225 = 150152).

The spelling of 825273273 in words is "eight hundred twenty-five million, two hundred seventy-three thousand, two hundred seventy-three".

Divisors: 1 3 11 33 25008281 75024843 275091091 825273273