Search a number
-
+
28258284 = 22317711951
BaseRepresentation
bin110101111001…
…0111111101100
31222011200002010
41223302333230
524213231114
62445401220
7462122445
oct153627754
958150063
1028258284
1114a5095a
129569210
135b152a2
143a782cc
152732c59
hex1af2fec

28258284 has 48 divisors (see below), whose sum is σ = 70834176. Its totient is φ = 8736000.

The previous prime is 28258277. The next prime is 28258289. The reversal of 28258284 is 48285282.

It is a super-2 number, since 2×282582842 = 1597061229249312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (28258289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13509 + ... + 15459.

It is an arithmetic number, because the mean of its divisors is an integer number (1475712).

Almost surely, 228258284 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 28258284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35417088).

28258284 is an abundant number, since it is smaller than the sum of its proper divisors (42575892).

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

28258284 is a wasteful number, since it uses less digits than its factorization.

28258284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2044 counting only the distinct ones).

The product of its digits is 81920, while the sum is 39.

The square root of 28258284 is about 5315.8521424133. The cubic root of 28258284 is about 304.5897341504.

The spelling of 28258284 in words is "twenty-eight million, two hundred fifty-eight thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 204 213 284 426 852 1207 1951 2414 3621 3902 4828 5853 7242 7804 11706 14484 23412 33167 66334 99501 132668 138521 199002 277042 398004 415563 554084 831126 1662252 2354857 4709714 7064571 9419428 14129142 28258284