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3986487648 = 2532111396797
BaseRepresentation
bin1110110110011100…
…1111100101100000
3101021211021112222200
43231213033211200
531131020101043
61455324133200
7200534404653
oct35547174540
911254245880
103986487648
1117662a51a0
12933097200
134b6ba0240
1429b63789a
15184ea67d3
hexed9cf960

3986487648 has 144 divisors (see below), whose sum is σ = 13318630416. Its totient is φ = 1115089920.

The previous prime is 3986487643. The next prime is 3986487649. The reversal of 3986487648 is 8467846893.

3986487648 is a `hidden beast` number, since 3 + 98 + 6 + 487 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3986487643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7215 + ... + 89582.

It is an arithmetic number, because the mean of its divisors is an integer number (92490489).

Almost surely, 23986487648 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 3986487648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6659315208).

3986487648 is an abundant number, since it is smaller than the sum of its proper divisors (9332142768).

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

3986487648 is a wasteful number, since it uses less digits than its factorization.

3986487648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96837 (or 96826 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The square root of 3986487648 is about 63138.6383128430. The cubic root of 3986487648 is about 1585.6115753015.

The spelling of 3986487648 in words is "three billion, nine hundred eighty-six million, four hundred eighty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3432 3744 4576 5148 6864 10296 13728 20592 41184 96797 193594 290391 387188 580782 774376 871173 1064767 1161564 1258361 1548752 1742346 2129534 2323128 2516722 3097504 3194301 3484692 3775083 4259068 4646256 5033444 6388602 6969384 7550166 8518136 9292512 9582903 10066888 11325249 12777204 13841971 13938768 15100332 17036272 19165806 20133776 22650498 25554408 27683942 27877536 30200664 34072544 38331612 40267552 41525913 45300996 51108816 55367884 60401328 76663224 83051826 90601992 102217632 110735768 120802656 124577739 153326448 166103652 181203984 221471536 249155478 306652896 332207304 362407968 442943072 498310956 664414608 996621912 1328829216 1993243824 3986487648