Search a number
-
+
28418960 = 245379601
BaseRepresentation
bin110110001101…
…0001110010000
31222110211111002
41230122032100
524233401320
62453041132
7463362053
oct154321620
958424432
1028418960
1115050649
1296261a8
135b7046b
143abaa9a
152765675
hex1b1a390

28418960 has 40 divisors (see below), whose sum is σ = 67866936. Its totient is φ = 11059200.

The previous prime is 28418959. The next prime is 28418969. The reversal of 28418960 is 6981482.

It can be written as a sum of positive squares in 4 ways, for example, as 11641744 + 16777216 = 3412^2 + 4096^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (28418969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1841 + ... + 7760.

Almost surely, 228418960 is an apocalyptic number.

28418960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28418960 is an abundant number, since it is smaller than the sum of its proper divisors (39447976).

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

28418960 is a wasteful number, since it uses less digits than its factorization.

28418960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9651 (or 9645 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 28418960 is about 5330.9436312908. The cubic root of 28418960 is about 305.1659403379.

The spelling of 28418960 in words is "twenty-eight million, four hundred eighteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 9601 19202 38404 48005 76808 96010 153616 192020 355237 384040 710474 768080 1420948 1776185 2841896 3552370 5683792 7104740 14209480 28418960