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2421686484 = 22357418681
BaseRepresentation
bin1001000001011000…
…0000000011010100
320020202211102100000
42100112000003110
514424422431414
61040145051300
7114003665310
oct22026000324
96222742300
102421686484
111032a84998
12577026b30
132c793c8a9
1418d8a6b40
15e290bb09
hex905800d4

2421686484 has 144 divisors (see below), whose sum is σ = 7432903296. Its totient is φ = 674956800.

The previous prime is 2421686483. The next prime is 2421686497. The reversal of 2421686484 is 4846861242.

2421686484 is a `hidden beast` number, since 2 + 4 + 2 + 168 + 6 + 484 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2421686483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274624 + ... + 283304.

It is an arithmetic number, because the mean of its divisors is an integer number (51617384).

Almost surely, 22421686484 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 2421686484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716451648).

2421686484 is an abundant number, since it is smaller than the sum of its proper divisors (5011216812).

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

2421686484 is a wasteful number, since it uses less digits than its factorization.

2421686484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8748 (or 8734 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 2421686484 is about 49210.6338508254. The cubic root of 2421686484 is about 1342.8864940081.

The spelling of 2421686484 in words is "two billion, four hundred twenty-one million, six hundred eighty-six thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 54 63 81 82 84 108 123 126 162 164 189 243 246 252 287 324 369 378 486 492 567 574 738 756 861 972 1107 1134 1148 1476 1701 1722 2214 2268 2583 3321 3402 3444 4428 5166 6642 6804 7749 8681 9963 10332 13284 15498 17362 19926 23247 26043 30996 34724 39852 46494 52086 60767 69741 78129 92988 104172 121534 139482 156258 182301 234387 243068 278964 312516 355921 364602 468774 546903 703161 711842 729204 937548 1067763 1093806 1406322 1423684 1640709 2109483 2135526 2187612 2491447 2812644 3203289 3281418 4218966 4271052 4922127 4982894 6406578 6562836 7474341 8437932 9609867 9844254 9965788 12813156 14766381 14948682 19219734 19688508 22423023 28829601 29532762 29897364 38439468 44846046 57659202 59065524 67269069 86488803 89692092 115318404 134538138 172977606 201807207 269076276 345955212 403614414 605421621 807228828 1210843242 2421686484