Search a number
-
+
247272705 = 32529892129
BaseRepresentation
bin11101011110100…
…01010100000001
3122020021202101100
432233101110001
51001300211310
640311525013
76061532451
oct1657212401
9566252340
10247272705
11117640709
126a989769
133c2c9214
1424ba9d61
1516a95ec0
hexebd1501

247272705 has 48 divisors (see below), whose sum is σ = 448578000. Its totient is φ = 125841408.

The previous prime is 247272703. The next prime is 247272721. The reversal of 247272705 is 507272742.

It can be written as a sum of positive squares in 8 ways, for example, as 29680704 + 217592001 = 5448^2 + 14751^2 .

It is not a de Polignac number, because 247272705 - 21 = 247272703 is a prime.

It is a super-2 number, since 2×2472727052 = 122287581276034050, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 247272705.

It is not an unprimeable number, because it can be changed into a prime (247272703) 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 47 ways as a sum of consecutive naturals, for example, 115081 + ... + 117209.

It is an arithmetic number, because the mean of its divisors is an integer number (9345375).

Almost surely, 2247272705 is an apocalyptic number.

It is an amenable number.

247272705 is a deficient number, since it is larger than the sum of its proper divisors (201305295).

247272705 is a wasteful number, since it uses less digits than its factorization.

247272705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 247272705 is about 15724.9071539389. The cubic root of 247272705 is about 627.6613596451.

The spelling of 247272705 in words is "two hundred forty-seven million, two hundred seventy-two thousand, seven hundred five".

Divisors: 1 3 5 9 15 29 45 87 89 145 261 267 435 445 801 1305 1335 2129 2581 4005 6387 7743 10645 12905 19161 23229 31935 38715 61741 95805 116145 185223 189481 308705 555669 568443 926115 947405 1705329 2778345 2842215 5494949 8526645 16484847 27474745 49454541 82424235 247272705