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982768257 = 32257424889
BaseRepresentation
bin111010100100111…
…101101010000001
32112111020210121100
4322210331222001
54003042041012
6241304045013
733232251402
oct7244755201
92474223540
10982768257
11464824379
12235163769
131287b5aa3
14947439a9
155b42a8dc
hex3a93da81

982768257 has 12 divisors (see below), whose sum is σ = 1425081060. Its totient is φ = 652627968.

The previous prime is 982768253. The next prime is 982768277. The reversal of 982768257 is 752867289.

It is a happy number.

982768257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 811053441 + 171714816 = 28479^2 + 13104^2 .

It is not a de Polignac number, because 982768257 - 22 = 982768253 is a prime.

It is not an unprimeable number, because it can be changed into a prime (982768253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210132 + ... + 214757.

It is an arithmetic number, because the mean of its divisors is an integer number (118756755).

Almost surely, 2982768257 is an apocalyptic number.

It is an amenable number.

982768257 is a deficient number, since it is larger than the sum of its proper divisors (442312803).

982768257 is a wasteful number, since it uses less digits than its factorization.

982768257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425152 (or 425149 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 982768257 is about 31349.1348684457. The cubic root of 982768257 is about 994.2227735960. Note that the first 3 decimals are identical.

The spelling of 982768257 in words is "nine hundred eighty-two million, seven hundred sixty-eight thousand, two hundred fifty-seven".

Divisors: 1 3 9 257 771 2313 424889 1274667 3824001 109196473 327589419 982768257