Search a number
-
+
3885024 = 2531113283
BaseRepresentation
bin1110110100011111100000
321022101020210
432310133200
51443310044
6215134120
745010413
oct16643740
97271223
103885024
112213970
121374340
13a60440
14731b7a
1551b1b9
hex3b47e0

3885024 has 96 divisors (see below), whose sum is σ = 12023424. Its totient is φ = 1082880.

The previous prime is 3885019. The next prime is 3885031. The reversal of 3885024 is 4205883.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×38850242 = 30186822961152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3884982 and 3885000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13587 + ... + 13869.

It is an arithmetic number, because the mean of its divisors is an integer number (125244).

Almost surely, 23885024 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 3885024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011712).

3885024 is an abundant number, since it is smaller than the sum of its proper divisors (8138400).

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

3885024 is a wasteful number, since it uses less digits than its factorization.

3885024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 3885024 is about 1971.0464225888. The cubic root of 3885024 is about 157.2043534201.

The spelling of 3885024 in words is "three million, eight hundred eighty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 283 286 312 352 416 429 528 566 572 624 849 858 1056 1132 1144 1248 1698 1716 2264 2288 3113 3396 3432 3679 4528 4576 6226 6792 6864 7358 9056 9339 11037 12452 13584 13728 14716 18678 22074 24904 27168 29432 37356 40469 44148 49808 58864 74712 80938 88296 99616 117728 121407 149424 161876 176592 242814 298848 323752 353184 485628 647504 971256 1295008 1942512 3885024