Search a number
-
+
247709072 = 24138913381
BaseRepresentation
bin11101100001110…
…11110110010000
3122021002220222002
432300323312100
51001403142242
640325133132
76065330612
oct1660736620
9567086862
10247709072
11117909546
126ab5a1a8
133c41ca20
1424c80db2
1516b30432
hexec3bd90

247709072 has 40 divisors (see below), whose sum is σ = 522700920. Its totient is φ = 113034240.

The previous prime is 247709053. The next prime is 247709093. The reversal of 247709072 is 270907742.

It can be written as a sum of positive squares in 4 ways, for example, as 8202496 + 239506576 = 2864^2 + 15476^2 .

It is a super-2 number, since 2×2477090722 = 122719568702202368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11822 + ... + 25202.

It is an arithmetic number, because the mean of its divisors is an integer number (13067523).

Almost surely, 2247709072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247709072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261350460).

247709072 is an abundant number, since it is smaller than the sum of its proper divisors (274991848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

247709072 is a wasteful number, since it uses less digits than its factorization.

247709072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13491 (or 13485 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 38.

The square root of 247709072 is about 15738.7760642307. The cubic root of 247709072 is about 628.0303581143.

The spelling of 247709072 in words is "two hundred forty-seven million, seven hundred nine thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 52 89 104 178 208 356 712 1157 1424 2314 4628 9256 13381 18512 26762 53524 107048 173953 214096 347906 695812 1190909 1391624 2381818 2783248 4763636 9527272 15481817 19054544 30963634 61927268 123854536 247709072