Search a number
-
+
28882152 = 23321359523
BaseRepresentation
bin110111000101…
…1010011101000
32000100100212100
41232023103220
524343212102
62511013400
7500331345
oct156132350
960310770
1028882152
1115337652
12980a260
135ca3240
143b9b7cc
152807a1c
hex1b8b4e8

28882152 has 96 divisors (see below), whose sum is σ = 85831200. Its totient is φ = 8719488.

The previous prime is 28882151. The next prime is 28882171. The reversal of 28882152 is 25128882.

It is a happy number.

It is a super-2 number, since 2×288821522 = 1668357408302208, which contains 22 as substring.

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 (28882151) 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 23 ways as a sum of consecutive naturals, for example, 54963 + ... + 55485.

It is an arithmetic number, because the mean of its divisors is an integer number (894075).

Almost surely, 228882152 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 28882152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42915600).

28882152 is an abundant number, since it is smaller than the sum of its proper divisors (56949048).

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

28882152 is a wasteful number, since it uses less digits than its factorization.

28882152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 600 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The square root of 28882152 is about 5374.2117561555. The cubic root of 28882152 is about 306.8149492933.

The spelling of 28882152 in words is "twenty-eight million, eight hundred eighty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 59 72 78 104 117 118 156 177 234 236 312 354 468 472 523 531 708 767 936 1046 1062 1416 1534 1569 2092 2124 2301 3068 3138 4184 4248 4602 4707 6136 6276 6799 6903 9204 9414 12552 13598 13806 18408 18828 20397 27196 27612 30857 37656 40794 54392 55224 61191 61714 81588 92571 122382 123428 163176 185142 244764 246856 277713 370284 401141 489528 555426 740568 802282 1110852 1203423 1604564 2221704 2406846 3209128 3610269 4813692 7220538 9627384 14441076 28882152