Search a number
-
+
45463728 = 2434322027
BaseRepresentation
bin1010110101101…
…1100010110000
310011112210111210
42231123202300
543114314403
64302240120
71061302212
oct255334260
9104483453
1045463728
1123732632
1213286040
13955a71b
1460765b2
153ed0b03
hex2b5b8b0

45463728 has 40 divisors (see below), whose sum is σ = 120184768. Its totient is φ = 14801472.

The previous prime is 45463723. The next prime is 45463753. The reversal of 45463728 is 82736454.

It is a happy number.

45463728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45463723) 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 7 ways as a sum of consecutive naturals, for example, 8950 + ... + 13077.

Almost surely, 245463728 is an apocalyptic number.

45463728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45463728 is an abundant number, since it is smaller than the sum of its proper divisors (74721040).

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

45463728 is a wasteful number, since it uses less digits than its factorization.

45463728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22081 (or 22075 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 45463728 is about 6742.6795860400. The cubic root of 45463728 is about 356.9069581542.

The spelling of 45463728 in words is "forty-five million, four hundred sixty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2064 22027 44054 66081 88108 132162 176216 264324 352432 528648 947161 1057296 1894322 2841483 3788644 5682966 7577288 11365932 15154576 22731864 45463728