Search a number
-
+
424684624 = 2471331972
BaseRepresentation
bin11001010100000…
…010110001010000
31002121010012210011
4121110002301100
51332204401444
6110050244304
713344521410
oct3124026120
91077105704
10424684624
111a87a5931
12ba286694
1369ca50a0
144058c640
152743c734
hex19502c50

424684624 has 120 divisors (see below), whose sum is σ = 1056265728. Its totient is φ = 160911360.

The previous prime is 424684609. The next prime is 424684639. The reversal of 424684624 is 426486424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (424684609) and next prime (424684639).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4378144 + ... + 4378240.

Almost surely, 2424684624 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 424684624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528132864).

424684624 is an abundant number, since it is smaller than the sum of its proper divisors (631581104).

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

424684624 is a wasteful number, since it uses less digits than its factorization.

424684624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 150 counting only the distinct ones).

The product of its digits is 294912, while the sum is 40.

The square root of 424684624 is about 20607.8777170285. The cubic root of 424684624 is about 751.6612798524.

The spelling of 424684624 in words is "four hundred twenty-four million, six hundred eighty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 97 104 112 124 182 194 208 217 248 364 388 403 434 496 679 728 776 806 868 1261 1358 1456 1552 1612 1736 2522 2716 2821 3007 3224 3472 5044 5432 5642 6014 6448 8827 9409 10088 10864 11284 12028 17654 18818 20176 21049 22568 24056 35308 37636 39091 42098 45136 48112 65863 70616 75272 78182 84196 122317 131726 141232 150544 156364 168392 244634 263452 273637 291679 312728 336784 489268 526904 547274 583358 625456 856219 978536 1053808 1094548 1166716 1712438 1957072 2041753 2189096 2333432 3424876 3791827 4083506 4378192 4666864 6849752 7583654 8167012 13699504 15167308 16334024 26542789 30334616 32668048 53085578 60669232 106171156 212342312 424684624