Search a number
-
+
247802013 = 32172955849
BaseRepresentation
bin11101100010100…
…10100010011101
3122021021122110100
432301102202131
51001414131023
640331131313
76066165564
oct1661224235
9567248410
10247802013
11117972358
126aba3b39
133c453114
1424ca6bdb
1516b4cc43
hexec5289d

247802013 has 24 divisors (see below), whose sum is σ = 392067000. Its totient is φ = 150119424.

The previous prime is 247802011. The next prime is 247802029. The reversal of 247802013 is 310208742.

247802013 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 4 ways, for example, as 116057529 + 131744484 = 10773^2 + 11478^2 .

It is not a de Polignac number, because 247802013 - 21 = 247802011 is a prime.

It is a super-2 number, since 2×2478020132 = 122811675293704338, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247802011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23488 + ... + 32361.

It is an arithmetic number, because the mean of its divisors is an integer number (16336125).

Almost surely, 2247802013 is an apocalyptic number.

It is an amenable number.

247802013 is a deficient number, since it is larger than the sum of its proper divisors (144264987).

247802013 is a wasteful number, since it uses less digits than its factorization.

247802013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55901 (or 55898 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 247802013 is about 15741.7283993849. The cubic root of 247802013 is about 628.1088944263.

The spelling of 247802013 in words is "two hundred forty-seven million, eight hundred two thousand, thirteen".

Divisors: 1 3 9 17 29 51 87 153 261 493 1479 4437 55849 167547 502641 949433 1619621 2848299 4858863 8544897 14576589 27533557 82600671 247802013