Search a number
-
+
424143216 = 2434726679
BaseRepresentation
bin11001010001111…
…110100101110000
31002120002201010000
4121101332211300
51332040040331
6110030510000
713340105100
oct3121764560
91076081100
10424143216
111a8466092
12ba065300
1369b45823
144048b200
15273820e6
hex1947e970

424143216 has 150 divisors (see below), whose sum is σ = 1428230760. Its totient is φ = 121165632.

The previous prime is 424143211. The next prime is 424143257. The reversal of 424143216 is 612341424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 424143216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424143211) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 60165 + ... + 66843.

Almost surely, 2424143216 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 424143216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714115380).

424143216 is an abundant number, since it is smaller than the sum of its proper divisors (1004087544).

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

424143216 is a wasteful number, since it uses less digits than its factorization.

424143216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6713 (or 6691 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 424143216 is about 20594.7375802655. The cubic root of 424143216 is about 751.3417262628.

The spelling of 424143216 in words is "four hundred twenty-four million, one hundred forty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 882 1008 1134 1176 1296 1323 1512 1764 2268 2352 2646 3024 3528 3969 4536 5292 6679 7056 7938 9072 10584 13358 15876 20037 21168 26716 31752 40074 46753 53432 60111 63504 80148 93506 106864 120222 140259 160296 180333 187012 240444 280518 320592 327271 360666 374024 420777 480888 540999 561036 654542 721332 748048 841554 961776 981813 1081998 1122072 1262331 1309084 1442664 1683108 1963626 2163996 2244144 2524662 2618168 2885328 2945439 3366216 3786993 3927252 4327992 5049324 5236336 5890878 6732432 7573986 7854504 8655984 8836317 10098648 11781756 15147972 15709008 17672634 20197296 23563512 26508951 30295944 35345268 47127024 53017902 60591888 70690536 106035804 141381072 212071608 424143216