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3986846424 = 23321124211087
BaseRepresentation
bin1110110110100010…
…0111001011011000
3101021211221210010200
43231220213023120
531131113041144
61455335542200
7200540430651
oct35550471330
911254853120
103986846424
11176651a800
1293322a960
134b6c97632
1429b6cc528
15185027c69
hexeda272d8

3986846424 has 144 divisors (see below), whose sum is σ = 11907692160. Its totient is φ = 1204156800.

The previous prime is 3986846407. The next prime is 3986846431. The reversal of 3986846424 is 4246486893.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3667209 + ... + 3668295.

Almost surely, 23986846424 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 3986846424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5953846080).

3986846424 is an abundant number, since it is smaller than the sum of its proper divisors (7920845736).

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

3986846424 is a wasteful number, since it uses less digits than its factorization.

3986846424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1524 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 3986846424 is about 63141.4794251766. The cubic root of 3986846424 is about 1585.6591411760.

The spelling of 3986846424 in words is "three billion, nine hundred eighty-six million, eight hundred forty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 421 484 726 792 842 968 1087 1089 1263 1452 1684 2174 2178 2526 2904 3261 3368 3789 4348 4356 4631 5052 6522 7578 8696 8712 9262 9783 10104 11957 13044 13893 15156 18524 19566 23914 26088 27786 30312 35871 37048 39132 41679 47828 50941 55572 71742 78264 83358 95656 101882 107613 111144 131527 143484 152823 166716 203764 215226 263054 286968 305646 333432 394581 407528 430452 457627 458469 526108 611292 789162 860904 915254 916938 1052216 1183743 1222584 1372881 1578324 1830508 1833876 2367486 2745762 3156648 3661016 3667752 4118643 4734972 5033897 5491524 8237286 9469944 10067794 10983048 15101691 16474572 20135588 30203382 32949144 40271176 45305073 55372867 60406764 90610146 110745734 120813528 166118601 181220292 221491468 332237202 362440584 442982936 498355803 664474404 996711606 1328948808 1993423212 3986846424