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247272961 = 1337514081
BaseRepresentation
bin11101011110100…
…01011000000001
3122020021202201211
432233101120001
51001300213321
640311530121
76061533265
oct1657213001
9566252654
10247272961
11117640921
126a989941
133c2c9380
1424baa0a5
1516a960e1
hexebd1601

247272961 has 8 divisors (see below), whose sum is σ = 273491624. Its totient is φ = 222082560.

The previous prime is 247272943. The next prime is 247273043. The reversal of 247272961 is 169272742.

It can be written as a sum of positive squares in 4 ways, for example, as 59582961 + 187690000 = 7719^2 + 13700^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 247272961 - 211 = 247270913 is a prime.

It is a super-2 number, since 2×2472729612 = 122287834483415042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (247272941) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 256560 + ... + 257521.

It is an arithmetic number, because the mean of its divisors is an integer number (34186453).

Almost surely, 2247272961 is an apocalyptic number.

It is an amenable number.

247272961 is a deficient number, since it is larger than the sum of its proper divisors (26218663).

247272961 is a wasteful number, since it uses less digits than its factorization.

247272961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514131.

The product of its digits is 84672, while the sum is 40.

The square root of 247272961 is about 15724.9152938895. The cubic root of 247272961 is about 627.6615762497.

The spelling of 247272961 in words is "two hundred forty-seven million, two hundred seventy-two thousand, nine hundred sixty-one".

Divisors: 1 13 37 481 514081 6683053 19020997 247272961