Search a number
-
+
28874538 = 23271183251
BaseRepresentation
bin110111000100…
…1011100101010
32000022222102100
41232021130222
524342441123
62510514230
7500300220
oct156113452
960288370
1028874538
1115331960
129805976
135c9c934
143b98b10
152805643
hex1b8972a

28874538 has 96 divisors (see below), whose sum is σ = 79252992. Its totient is φ = 7380000.

The previous prime is 28874501. The next prime is 28874539. The reversal of 28874538 is 83547882.

It is a junction number, because it is equal to n+sod(n) for n = 28874493 and 28874502.

It is not an unprimeable number, because it can be changed into a prime (28874539) 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 47 ways as a sum of consecutive naturals, for example, 114913 + ... + 115163.

It is an arithmetic number, because the mean of its divisors is an integer number (825552).

Almost surely, 228874538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28874538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39626496).

28874538 is an abundant number, since it is smaller than the sum of its proper divisors (50378454).

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

28874538 is a wasteful number, since it uses less digits than its factorization.

28874538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 357 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 28874538 is about 5373.5033265087. The cubic root of 28874538 is about 306.7879857631.

The spelling of 28874538 in words is "twenty-eight million, eight hundred seventy-four thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 83 99 126 154 166 198 231 249 251 462 498 502 581 693 747 753 913 1162 1386 1494 1506 1743 1757 1826 2259 2739 2761 3486 3514 4518 5229 5271 5478 5522 6391 8217 8283 10458 10542 12782 15813 16434 16566 19173 19327 20833 24849 31626 38346 38654 41666 49698 57519 57981 62499 115038 115962 124998 145831 173943 187497 229163 291662 347886 374994 437493 458326 687489 874986 1312479 1374978 1604141 2062467 2624958 3208282 4124934 4812423 9624846 14437269 28874538