Search a number
-
+
28982824 = 231331797
BaseRepresentation
bin110111010001…
…1111000101000
32000112110221221
41232203320220
524404422244
62513111424
7501231013
oct156437050
960473857
1028982824
11153a6252
129858574
13600a000
143bc637a
152827784
hex1ba3e28

28982824 has 64 divisors (see below), whose sum is σ = 62974800. Its totient is φ = 12460032.

The previous prime is 28982819. The next prime is 28982827. The reversal of 28982824 is 42828982.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 145924 + 28836900 = 382^2 + 5370^2 .

It is not an unprimeable number, because it can be changed into a prime (28982827) 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 15 ways as a sum of consecutive naturals, for example, 298744 + ... + 298840.

Almost surely, 228982824 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 28982824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31487400).

28982824 is an abundant number, since it is smaller than the sum of its proper divisors (33991976).

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

28982824 is a wasteful number, since it uses less digits than its factorization.

28982824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 129 counting only the distinct ones).

The product of its digits is 147456, while the sum is 43.

The square root of 28982824 is about 5383.5698193671. The cubic root of 28982824 is about 307.1710152865.

The spelling of 28982824 in words is "twenty-eight million, nine hundred eighty-two thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 97 104 136 169 194 221 338 388 442 676 776 884 1261 1352 1649 1768 2197 2522 2873 3298 4394 5044 5746 6596 8788 10088 11492 13192 16393 17576 21437 22984 32786 37349 42874 65572 74698 85748 131144 149396 171496 213109 278681 298792 426218 557362 852436 1114724 1704872 2229448 3622853 7245706 14491412 28982824