Search a number
-
+
45534760 = 2351138369
BaseRepresentation
bin1010110110110…
…0111000101000
310011200101221121
42231230320220
543124103020
64303545024
71062016255
oct255547050
9104611847
1045534760
1123780a37
12132bb174
139583b5b
14609442c
153ee6baa
hex2b6ce28

45534760 has 16 divisors (see below), whose sum is σ = 102453300. Its totient is φ = 18213888.

The previous prime is 45534757. The next prime is 45534761. The reversal of 45534760 is 6743554.

It is a happy number.

45534760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 45508516 + 26244 = 6746^2 + 162^2 .

It is not an unprimeable number, because it can be changed into a prime (45534761) 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 3 ways as a sum of consecutive naturals, for example, 569145 + ... + 569224.

Almost surely, 245534760 is an apocalyptic number.

45534760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45534760 is an abundant number, since it is smaller than the sum of its proper divisors (56918540).

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

45534760 is a wasteful number, since it uses less digits than its factorization.

45534760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138380 (or 1138376 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 45534760 is about 6747.9448723296. The cubic root of 45534760 is about 357.0927371953.

The spelling of 45534760 in words is "forty-five million, five hundred thirty-four thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 1138369 2276738 4553476 5691845 9106952 11383690 22767380 45534760