Search a number
-
+
38910768 = 24313127491
BaseRepresentation
bin1001010001101…
…1101100110000
32201012212112120
42110123230300
534430121033
63505554240
7651510321
oct224335460
981185476
1038910768
111aa67266
1211045980
1380a4b30
14524c448
1536391b3
hex251bb30

38910768 has 80 divisors (see below), whose sum is σ = 109326336. Its totient is φ = 11854080.

The previous prime is 38910761. The next prime is 38910787. The reversal of 38910768 is 86701983.

It is not an unprimeable number, because it can be changed into a prime (38910761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79003 + ... + 79493.

Almost surely, 238910768 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 38910768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54663168).

38910768 is an abundant number, since it is smaller than the sum of its proper divisors (70415568).

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

38910768 is a wasteful number, since it uses less digits than its factorization.

38910768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 38910768 is about 6237.8496294797. The cubic root of 38910768 is about 338.8623104042.

The spelling of 38910768 in words is "thirty-eight million, nine hundred ten thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 127 156 208 254 312 381 491 508 624 762 982 1016 1473 1524 1651 1964 2032 2946 3048 3302 3928 4953 5892 6096 6383 6604 7856 9906 11784 12766 13208 19149 19812 23568 25532 26416 38298 39624 51064 62357 76596 79248 102128 124714 153192 187071 249428 306384 374142 498856 748284 810641 997712 1496568 1621282 2431923 2993136 3242564 4863846 6485128 9727692 12970256 19455384 38910768