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28961712 = 243613191
BaseRepresentation
bin110111001111…
…0101110110000
32000111102000000
41232132232300
524403233322
62512430000
7501112323
oct156365660
960442000
1028961712
11153913aa
129848300
136000510
143bbc7ba
1528213ac
hex1b9ebb0

28961712 has 140 divisors (see below), whose sum is σ = 91077504. Its totient is φ = 8864640.

The previous prime is 28961711. The next prime is 28961717. The reversal of 28961712 is 21716982.

28961712 is a `hidden beast` number, since 28 + 9 + 617 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28961711) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 151537 + ... + 151727.

Almost surely, 228961712 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 28961712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45538752).

28961712 is an abundant number, since it is smaller than the sum of its proper divisors (62115792).

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

28961712 is a wasteful number, since it uses less digits than its factorization.

28961712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 28961712 is about 5381.6086814260. The cubic root of 28961712 is about 307.0964128285.

It can be divided in two parts, 289 and 61712, that added together give a square (62001 = 2492).

The spelling of 28961712 in words is "twenty-eight million, nine hundred sixty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 191 208 216 234 243 312 324 351 382 432 468 486 573 624 648 702 729 764 936 972 1053 1146 1296 1404 1458 1528 1719 1872 1944 2106 2292 2483 2808 2916 3056 3159 3438 3888 4212 4584 4966 5157 5616 5832 6318 6876 7449 8424 9168 9477 9932 10314 11664 12636 13752 14898 15471 16848 18954 19864 20628 22347 25272 27504 29796 30942 37908 39728 41256 44694 46413 50544 59592 61884 67041 75816 82512 89388 92826 119184 123768 134082 139239 151632 178776 185652 201123 247536 268164 278478 357552 371304 402246 536328 556956 603369 742608 804492 1072656 1113912 1206738 1608984 1810107 2227824 2413476 3217968 3620214 4826952 7240428 9653904 14480856 28961712