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45648284 = 221123431049
BaseRepresentation
bin1010111000100…
…0100110011100
310011220011200012
42232020212130
543141221114
64310222352
71063001243
oct256104634
9104804605
1045648284
1123849260
12133549b8
1395c3726
1460c395a
15401a63e
hex2b8899c

45648284 has 48 divisors (see below), whose sum is σ = 93139200. Its totient is φ = 19367040.

The previous prime is 45648227. The next prime is 45648311. The reversal of 45648284 is 48284654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42992 + ... + 44040.

It is an arithmetic number, because the mean of its divisors is an integer number (1940400).

Almost surely, 245648284 is an apocalyptic number.

45648284 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45648284 is an abundant number, since it is smaller than the sum of its proper divisors (47490916).

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

45648284 is a wasteful number, since it uses less digits than its factorization.

45648284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1128 counting only the distinct ones).

The product of its digits is 245760, while the sum is 41.

The square root of 45648284 is about 6756.3513822181. The cubic root of 45648284 is about 357.3892502560.

The spelling of 45648284 in words is "forty-five million, six hundred forty-eight thousand, two hundred eighty-four".

Divisors: 1 2 4 11 22 23 43 44 46 86 92 172 253 473 506 946 989 1012 1049 1892 1978 2098 3956 4196 10879 11539 21758 23078 24127 43516 45107 46156 48254 90214 96508 180428 265397 496177 530794 992354 1037461 1061588 1984708 2074922 4149844 11412071 22824142 45648284