Search a number
-
+
28466520 = 23351511571
BaseRepresentation
bin110110010010…
…1110101011000
31222120020201120
41230211311120
524241412040
62454045240
7463650525
oct154456530
958506646
1028466520
1115083355
129649820
135b88cc4
143ad014c
1527747d0
hex1b25d58

28466520 has 64 divisors (see below), whose sum is σ = 86019840. Its totient is φ = 7536000.

The previous prime is 28466519. The next prime is 28466521. The reversal of 28466520 is 2566482.

It is an interprime number because it is at equal distance from previous prime (28466519) and next prime (28466521).

It is a super-3 number, since 3×284665203 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28466521) 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, 17335 + ... + 18905.

It is an arithmetic number, because the mean of its divisors is an integer number (1344060).

Almost surely, 228466520 is an apocalyptic number.

28466520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28466520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43009920).

28466520 is an abundant number, since it is smaller than the sum of its proper divisors (57553320).

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

28466520 is a wasteful number, since it uses less digits than its factorization.

28466520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 28466520 is about 5335.4025152747. The cubic root of 28466520 is about 305.3360803111.

The spelling of 28466520 in words is "twenty-eight million, four hundred sixty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 151 302 453 604 755 906 1208 1510 1571 1812 2265 3020 3142 3624 4530 4713 6040 6284 7855 9060 9426 12568 15710 18120 18852 23565 31420 37704 47130 62840 94260 188520 237221 474442 711663 948884 1186105 1423326 1897768 2372210 2846652 3558315 4744420 5693304 7116630 9488840 14233260 28466520