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3998849328 = 2432431733733
BaseRepresentation
bin1110111001011001…
…1001100100110000
3101022200112121000200
43232112121210300
531142201134303
61500445115200
7201044441565
oct35626314460
911280477020
103998849328
111772278761
12937258b00
134b960aa46
1429d13486c
151860e93a3
hexee599930

3998849328 has 120 divisors (see below), whose sum is σ = 11520764112. Its totient is φ = 1294078464.

The previous prime is 3998849317. The next prime is 3998849341. The reversal of 3998849328 is 8239488993.

3998849328 is a `hidden beast` number, since 39 + 98 + 8 + 493 + 28 = 666.

3998849328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1069350 + ... + 1073082.

Almost surely, 23998849328 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 3998849328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760382056).

3998849328 is an abundant number, since it is smaller than the sum of its proper divisors (7521914784).

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

3998849328 is a wasteful number, since it uses less digits than its factorization.

3998849328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963 (or 3954 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The square root of 3998849328 is about 63236.4556881551. The cubic root of 3998849328 is about 1587.2488225415.

The spelling of 3998849328 in words is "three billion, nine hundred ninety-eight million, eight hundred forty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 173 258 344 346 387 516 519 688 692 774 1032 1038 1384 1548 1557 2064 2076 2768 3096 3114 3733 4152 6192 6228 7439 7466 8304 11199 12456 14878 14932 22317 22398 24912 29756 29864 33597 44634 44796 59512 59728 66951 67194 89268 89592 119024 133902 134388 160519 178536 179184 267804 268776 321038 357072 481557 535608 537552 642076 645809 963114 1071216 1284152 1291618 1444671 1926228 1937427 2568304 2583236 2889342 3852456 3874854 5166472 5778684 5812281 7704912 7749708 10332944 11557368 11624562 15499416 23114736 23249124 27769787 30998832 46498248 55539574 83309361 92996496 111079148 166618722 222158296 249928083 333237444 444316592 499856166 666474888 999712332 1332949776 1999424664 3998849328