Search a number
-
+
38984484 = 223711311361
BaseRepresentation
bin1001010010110…
…1101100100100
32201100121122210
42110231230210
534440000414
63511323420
7652235250
oct224555444
981317583
1038984484
1120007690
1211080570
1380cc556
14526b260
153650e59
hex252db24

38984484 has 96 divisors (see below), whose sum is σ = 117153792. Its totient is φ = 9792000.

The previous prime is 38984483. The next prime is 38984501. The reversal of 38984484 is 48448983.

It is not an unprimeable number, because it can be changed into a prime (38984483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27964 + ... + 29324.

It is an arithmetic number, because the mean of its divisors is an integer number (1220352).

Almost surely, 238984484 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 38984484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58576896).

38984484 is an abundant number, since it is smaller than the sum of its proper divisors (78169308).

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

38984484 is a wasteful number, since it uses less digits than its factorization.

38984484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1415 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 38984484 is about 6243.7556005981. The cubic root of 38984484 is about 339.0761656550.

The spelling of 38984484 in words is "thirty-eight million, nine hundred eighty-four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 77 84 93 124 132 154 186 217 231 308 341 372 434 462 651 682 868 924 1023 1302 1361 1364 2046 2387 2604 2722 4083 4092 4774 5444 7161 8166 9527 9548 14322 14971 16332 19054 28581 28644 29942 38108 42191 44913 57162 59884 84382 89826 104797 114324 126573 168764 179652 209594 253146 295337 314391 419188 464101 506292 590674 628782 886011 928202 1181348 1257564 1392303 1772022 1856404 2784606 3248707 3544044 5569212 6497414 9746121 12994828 19492242 38984484