Search a number
-
+
28976444 = 22721931251
BaseRepresentation
bin110111010001…
…0010100111100
32000112011012122
41232202110330
524404221234
62513022112
7501203300
oct156422474
960464178
1028976444
11153a1482
129854938
136007133
143bc3d00
15282592e
hex1ba253c

28976444 has 72 divisors (see below), whose sum is σ = 64350720. Its totient is φ = 11340000.

The previous prime is 28976443. The next prime is 28976461. The reversal of 28976444 is 44467982.

It is a junction number, because it is equal to n+sod(n) for n = 28976395 and 28976404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28976443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115319 + ... + 115569.

It is an arithmetic number, because the mean of its divisors is an integer number (893760).

Almost surely, 228976444 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 28976444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32175360).

28976444 is an abundant number, since it is smaller than the sum of its proper divisors (35374276).

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

28976444 is a wasteful number, since it uses less digits than its factorization.

28976444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 310 counting only the distinct ones).

The product of its digits is 387072, while the sum is 44.

The square root of 28976444 is about 5382.9772431248. The cubic root of 28976444 is about 307.1484744086.

The spelling of 28976444 in words is "twenty-eight million, nine hundred seventy-six thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 19 28 31 38 49 62 76 98 124 133 196 217 251 266 434 502 532 589 868 931 1004 1178 1519 1757 1862 2356 3038 3514 3724 4123 4769 6076 7028 7781 8246 9538 12299 15562 16492 19076 24598 28861 31124 33383 49196 54467 57722 66766 108934 115444 133532 147839 217868 233681 295678 381269 467362 591356 762538 934724 1034873 1525076 2069746 4139492 7244111 14488222 28976444