Search a number
-
+
247408272 = 243219312917
BaseRepresentation
bin11101011111100…
…10011010010000
3122020112122100100
432233302122100
51001314031042
640314452400
76062635626
oct1657623220
9566478310
10247408272
11117723551
126aa34100
133c345b37
1424c03516
1516ac124c
hexebf2690

247408272 has 120 divisors (see below), whose sum is σ = 752610560. Its totient is φ = 75582720.

The previous prime is 247408237. The next prime is 247408277. The reversal of 247408272 is 272804742.

247408272 is a `hidden beast` number, since 247 + 408 + 2 + 7 + 2 = 666.

247408272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2474082722 = 122421706108051968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (247408277) 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, 83358 + ... + 86274.

Almost surely, 2247408272 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 247408272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376305280).

247408272 is an abundant number, since it is smaller than the sum of its proper divisors (505202288).

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

247408272 is a wasteful number, since it uses less digits than its factorization.

247408272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 247408272 is about 15729.2171451729. The cubic root of 247408272 is about 627.7760435823.

The spelling of 247408272 in words is "two hundred forty-seven million, four hundred eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 36 38 48 57 62 72 76 93 114 124 144 152 171 186 228 248 279 304 342 372 456 496 558 589 684 744 912 1116 1178 1368 1488 1767 2232 2356 2736 2917 3534 4464 4712 5301 5834 7068 8751 9424 10602 11668 14136 17502 21204 23336 26253 28272 35004 42408 46672 52506 55423 70008 84816 90427 105012 110846 140016 166269 180854 210024 221692 271281 332538 361708 420048 443384 498807 542562 665076 723416 813843 886768 997614 1085124 1330152 1446832 1627686 1718113 1995228 2170248 2660304 3255372 3436226 3990456 4340496 5154339 6510744 6872452 7980912 10308678 13021488 13744904 15463017 20617356 27489808 30926034 41234712 61852068 82469424 123704136 247408272