Search a number
-
+
4248944232 = 23313172273529
BaseRepresentation
bin1111110101000001…
…1011111001101000
3101222010010201201220
43331100123321220
532200212203412
61541341342040
7210202300341
oct37520337150
911863121656
104248944232
111890466765
129a6b67920
135293846b0
142c44370c8
1519d04b68c
hexfd41be68

4248944232 has 128 divisors (see below), whose sum is σ = 12169180800. Its totient is φ = 1224695808.

The previous prime is 4248944221. The next prime is 4248944233. The reversal of 4248944232 is 2324498424.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4248944233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1202244 + ... + 1205772.

It is an arithmetic number, because the mean of its divisors is an integer number (95071725).

Almost surely, 24248944232 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 4248944232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6084590400).

4248944232 is an abundant number, since it is smaller than the sum of its proper divisors (7920236568).

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

4248944232 is a wasteful number, since it uses less digits than its factorization.

4248944232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3795 (or 3791 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 4248944232 is about 65183.9261781614. The cubic root of 4248944232 is about 1619.6717609631.

The spelling of 4248944232 in words is "four billion, two hundred forty-eight million, nine hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 227 312 408 442 454 663 681 884 908 1326 1362 1768 1816 2652 2724 2951 3529 3859 5304 5448 5902 7058 7718 8853 10587 11577 11804 14116 15436 17706 21174 23154 23608 28232 30872 35412 42348 45877 46308 50167 59993 70824 84696 91754 92616 100334 119986 137631 150501 179979 183508 200668 239972 275262 301002 359958 367016 401336 479944 550524 602004 719916 779909 801083 1101048 1204008 1439832 1559818 1602166 2339727 2403249 3119636 3204332 4679454 4806498 6239272 6408664 9358908 9612996 10414079 13618411 18717816 19225992 20828158 27236822 31242237 40855233 41656316 54473644 62484474 81710466 83312632 108947288 124968948 163420932 177039343 249937896 326841864 354078686 531118029 708157372 1062236058 1416314744 2124472116 4248944232