Search a number
-
+
4384995216 = 243771397463
BaseRepresentation
bin1000001010101110…
…11011011110010000
3102022121010211121020
410011113123132100
532440024321331
62003041355440
7213443562420
oct40527333620
912277124536
104384995216
111950240898
12a24638b80
1354b60b434
142d8530480
151a9e72c96
hex1055db790

4384995216 has 160 divisors (see below), whose sum is σ = 13190012928. Its totient is φ = 1229437440.

The previous prime is 4384995211. The next prime is 4384995217. The reversal of 4384995216 is 6125994834.

It is not an unprimeable number, because it can be changed into a prime (4384995211) 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, 9470601 + ... + 9471063.

Almost surely, 24384995216 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 4384995216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6595006464).

4384995216 is an abundant number, since it is smaller than the sum of its proper divisors (8805017712).

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

4384995216 is a wasteful number, since it uses less digits than its factorization.

4384995216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 943 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The square root of 4384995216 is about 66219.2964021817. The cubic root of 4384995216 is about 1636.7777321345. Note that the first 4 decimals are identical.

The spelling of 4384995216 in words is "four billion, three hundred eighty-four million, nine hundred ninety-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 397 426 463 497 568 794 852 926 994 1136 1191 1389 1491 1588 1704 1852 1988 2382 2778 2779 2982 3176 3241 3408 3704 3976 4764 5556 5558 5964 6352 6482 7408 7952 8337 9528 9723 11112 11116 11928 12964 16674 19056 19446 22224 22232 23856 25928 28187 32873 33348 38892 44464 51856 56374 65746 66696 77784 84561 98619 112748 131492 133392 155568 169122 183811 197238 197309 225496 230111 262984 338244 367622 394476 394618 450992 460222 525968 551433 591927 676488 690333 735244 788952 789236 920444 1102866 1183854 1286677 1352976 1380666 1470488 1577904 1578472 1840888 2205732 2367708 2573354 2761332 2940976 3156944 3681776 3860031 4411464 4735416 5146708 5522664 7720062 8822928 9470832 10293416 11045328 13050581 15440124 20586832 26101162 30880248 39151743 52202324 61760496 78303486 91354067 104404648 156606972 182708134 208809296 274062201 313213944 365416268 548124402 626427888 730832536 1096248804 1461665072 2192497608 4384995216