Search a number
-
+
247674112 = 287413371
BaseRepresentation
bin11101100001100…
…11010100000000
3122021001011000021
432300303110000
51001401032422
640324303224
76065123650
oct1660632400
9567034007
10247674112
11117895254
126ab41b14
133c409b3a
1424c72360
1516b24dc7
hexec33500

247674112 has 72 divisors (see below), whose sum is σ = 578958912. Its totient is φ = 103526400.

The previous prime is 247674073. The next prime is 247674127. The reversal of 247674112 is 211476742.

It is a happy number.

It is a super-2 number, since 2×2476741122 = 122684931509977088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71787 + ... + 75157.

It is an arithmetic number, because the mean of its divisors is an integer number (8041096).

Almost surely, 2247674112 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 247674112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289479456).

247674112 is an abundant number, since it is smaller than the sum of its proper divisors (331284800).

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

247674112 is an equidigital number, since it uses as much as digits as its factorization.

247674112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435 (or 3421 counting only the distinct ones).

The product of its digits is 18816, while the sum is 34.

The square root of 247674112 is about 15737.6653923001. The cubic root of 247674112 is about 628.0008113909. Note that the first 3 decimals are identical.

The spelling of 247674112 in words is "two hundred forty-seven million, six hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 256 287 328 448 574 656 896 1148 1312 1792 2296 2624 3371 4592 5248 6742 9184 10496 13484 18368 23597 26968 36736 47194 53936 73472 94388 107872 138211 188776 215744 276422 377552 431488 552844 755104 862976 967477 1105688 1510208 1934954 2211376 3020416 3869908 4422752 6040832 7739816 8845504 15479632 17691008 30959264 35382016 61918528 123837056 247674112