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8013249 = 3498929
BaseRepresentation
bin11110100100010111000001
3120002010010000
4132210113001
54022410444
6443430213
7125053146
oct36442701
916063100
108013249
114583522
122825369
13187748a
1410c83cd
15a84469
hex7a45c1

8013249 has 10 divisors (see below), whose sum is σ = 11970530. Its totient is φ = 5342112.

The previous prime is 8013233. The next prime is 8013259. The reversal of 8013249 is 9423108.

It can be written as a sum of positive squares in only one way, i.e., 5475600 + 2537649 = 2340^2 + 1593^2 .

It is not a de Polignac number, because 8013249 - 24 = 8013233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8013259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 49384 + ... + 49545.

It is an arithmetic number, because the mean of its divisors is an integer number (1197053).

Almost surely, 28013249 is an apocalyptic number.

It is an amenable number.

8013249 is a deficient number, since it is larger than the sum of its proper divisors (3957281).

8013249 is an equidigital number, since it uses as much as digits as its factorization.

8013249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98941 (or 98932 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8013249 is about 2830.7682702758. The cubic root of 8013249 is about 200.1103474393.

The spelling of 8013249 in words is "eight million, thirteen thousand, two hundred forty-nine".

Divisors: 1 3 9 27 81 98929 296787 890361 2671083 8013249