Search a number
-
+
28479192 = 2337261397
BaseRepresentation
bin110110010100…
…0111011011000
31222120220002220
41230220323120
524242313232
62454224040
7464032500
oct154507330
958526086
1028479192
1115091925
129655020
135b919c1
143ad4a00
15277842c
hex1b28ed8

28479192 has 96 divisors (see below), whose sum is σ = 84391920. Its totient is φ = 7983360.

The previous prime is 28479181. The next prime is 28479239. The reversal of 28479192 is 29197482.

It is a super-2 number, since 2×284791922 = 1622128753945728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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, 71538 + ... + 71934.

Almost surely, 228479192 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 28479192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42195960).

28479192 is an abundant number, since it is smaller than the sum of its proper divisors (55912728).

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

28479192 is a wasteful number, since it uses less digits than its factorization.

28479192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 470 counting only the distinct ones).

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

The square root of 28479192 is about 5336.5899224130. The cubic root of 28479192 is about 305.3813808351.

The spelling of 28479192 in words is "twenty-eight million, four hundred seventy-nine thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 61 84 98 122 147 168 183 196 244 294 366 392 397 427 488 588 732 794 854 1176 1191 1281 1464 1588 1708 2382 2562 2779 2989 3176 3416 4764 5124 5558 5978 8337 8967 9528 10248 11116 11956 16674 17934 19453 22232 23912 24217 33348 35868 38906 48434 58359 66696 71736 72651 77812 96868 116718 145302 155624 169519 193736 233436 290604 339038 466872 508557 581208 678076 1017114 1186633 1356152 2034228 2373266 3559899 4068456 4746532 7119798 9493064 14239596 28479192