Search a number
-
+
247392048 = 24323331677
BaseRepresentation
bin11101011111011…
…10011100110000
3122020111211002110
432233232130300
51001313021143
640314245320
76062540421
oct1657563460
9566454073
10247392048
11117712342
126aa26840
133c33b637
1424bdb648
1516abb533
hexebee730

247392048 has 80 divisors (see below), whose sum is σ = 669885696. Its totient is φ = 78524160.

The previous prime is 247392023. The next prime is 247392049. The reversal of 247392048 is 840293742.

It is a super-2 number, since 2×2473920482 = 122405650827268608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 247391997 and 247392015.

It is not an unprimeable number, because it can be changed into a prime (247392049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365086 + ... + 365762.

Almost surely, 2247392048 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 247392048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334942848).

247392048 is an abundant number, since it is smaller than the sum of its proper divisors (422493648).

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

247392048 is a wasteful number, since it uses less digits than its factorization.

247392048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 247392048 is about 15728.7014085715. The cubic root of 247392048 is about 627.7623209729.

The spelling of 247392048 in words is "two hundred forty-seven million, three hundred ninety-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 331 368 552 662 677 993 1104 1324 1354 1986 2031 2648 2708 3972 4062 5296 5416 7613 7944 8124 10832 15226 15571 15888 16248 22839 30452 31142 32496 45678 46713 60904 62284 91356 93426 121808 124568 182712 186852 224087 249136 365424 373704 448174 672261 747408 896348 1344522 1792696 2689044 3585392 5154001 5378088 10308002 10756176 15462003 20616004 30924006 41232008 61848012 82464016 123696024 247392048