Search a number
-
+
38979328 = 28433541
BaseRepresentation
bin1001010010110…
…0011100000000
32201100100120211
42110230130000
534434314303
63511243504
7652214233
oct224543400
981310524
1038979328
1120003823
1211079594
1380ca0bb
14526941a
15364e66d
hex252c700

38979328 has 36 divisors (see below), whose sum is σ = 79638328. Its totient is φ = 19031040.

The previous prime is 38979313. The next prime is 38979329. The reversal of 38979328 is 82397983.

It is a super-2 number, since 2×389793282 = 3038776022663168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38979329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9238 + ... + 12778.

Almost surely, 238979328 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 38979328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39819164).

38979328 is an abundant number, since it is smaller than the sum of its proper divisors (40659000).

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

38979328 is an equidigital number, since it uses as much as digits as its factorization.

38979328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3586 counting only the distinct ones).

The product of its digits is 653184, while the sum is 49.

The square root of 38979328 is about 6243.3426944226. The cubic root of 38979328 is about 339.0612165128.

It can be divided in two parts, 3897 and 9328, that added together give a square (13225 = 1152).

The spelling of 38979328 in words is "thirty-eight million, nine hundred seventy-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 688 1376 2752 3541 5504 7082 11008 14164 28328 56656 113312 152263 226624 304526 453248 609052 906496 1218104 2436208 4872416 9744832 19489664 38979328