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3849848424 = 23321713212381
BaseRepresentation
bin1110010101111000…
…0000011001101000
3100221022011120012200
43211132000121220
530341030122144
61434003340200
7164255112612
oct34536003150
910838146180
103849848424
1116a6159114
128b5381660
1349479b826
14287429db2
15177eb5c69
hexe5780668

3849848424 has 96 divisors (see below), whose sum is σ = 11053004040. Its totient is φ = 1206374400.

The previous prime is 3849848383. The next prime is 3849848467. The reversal of 3849848424 is 4248489483.

It can be written as a sum of positive squares in 4 ways, for example, as 3350325924 + 499522500 = 57882^2 + 22350^2 .

It is a super-3 number, since 3×38498484243 (a number of 30 digits) contains 333 as substring.

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

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, 1615714 + ... + 1618094.

Almost surely, 23849848424 is an apocalyptic number.

3849848424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3849848424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5526502020).

3849848424 is an abundant number, since it is smaller than the sum of its proper divisors (7203155616).

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

3849848424 is a wasteful number, since it uses less digits than its factorization.

3849848424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3731 (or 3724 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The square root of 3849848424 is about 62047.1467837160. The cubic root of 3849848424 is about 1567.2846384985.

The spelling of 3849848424 in words is "three billion, eight hundred forty-nine million, eight hundred forty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 1321 2381 2642 3963 4762 5284 7143 7926 9524 10568 11889 14286 15852 19048 21429 22457 23778 28572 31704 40477 42858 44914 47556 57144 67371 80954 85716 89828 95112 121431 134742 161908 171432 179656 202113 242862 269484 323816 364293 404226 485724 538968 728586 808452 971448 1457172 1616904 2914344 3145301 6290602 9435903 12581204 18871806 25162408 28307709 37743612 53470117 56615418 75487224 106940234 113230836 160410351 213880468 226461672 320820702 427760936 481231053 641641404 962462106 1283282808 1924924212 3849848424