Search a number
-
+
247119072 = 25317532857
BaseRepresentation
bin11101011101010…
…11110011100000
3122012222221122020
432232223303200
51001230302242
640304341440
76060322524
oct1656536340
9565887566
10247119072
11117546242
126a914880
133c274305
1424b69d84
1516a656ec
hexebabce0

247119072 has 96 divisors (see below), whose sum is σ = 700049952. Its totient is φ = 76038144.

The previous prime is 247119049. The next prime is 247119079. The reversal of 247119072 is 270911742.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2471190722 = 122135671492282368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247119079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85068 + ... + 87924.

It is an arithmetic number, because the mean of its divisors is an integer number (7292187).

Almost surely, 2247119072 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 247119072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350024976).

247119072 is an abundant number, since it is smaller than the sum of its proper divisors (452930880).

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

247119072 is a wasteful number, since it uses less digits than its factorization.

247119072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 247119072 is about 15720.0213740313. The cubic root of 247119072 is about 627.5313419582.

The spelling of 247119072 in words is "two hundred forty-seven million, one hundred nineteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 68 96 102 106 136 159 204 212 272 318 408 424 544 636 816 848 901 1272 1632 1696 1802 2544 2703 2857 3604 5088 5406 5714 7208 8571 10812 11428 14416 17142 21624 22856 28832 34284 43248 45712 48569 68568 86496 91424 97138 137136 145707 151421 194276 274272 291414 302842 388552 454263 582828 605684 777104 908526 1165656 1211368 1554208 1817052 2331312 2422736 2574157 3634104 4662624 4845472 5148314 7268208 7722471 10296628 14536416 15444942 20593256 30889884 41186512 61779768 82373024 123559536 247119072