Search a number
-
+
45331748 = 22711532777
BaseRepresentation
bin1010110011101…
…1010100100100
310011022002110122
42230323110210
543101103443
64255341112
71060212350
oct254732444
9104262418
1045331748
1123652460
1213221798
139512627
146040460
153ea6968
hex2b3b524

45331748 has 48 divisors (see below), whose sum is σ = 100808064. Its totient is φ = 17322240.

The previous prime is 45331711. The next prime is 45331751. The reversal of 45331748 is 84713354.

45331748 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 14936 + ... + 17712.

It is an arithmetic number, because the mean of its divisors is an integer number (2100168).

Almost surely, 245331748 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45331748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50404032).

45331748 is an abundant number, since it is smaller than the sum of its proper divisors (55476316).

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

45331748 is a wasteful number, since it uses less digits than its factorization.

45331748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2850 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 45331748 is about 6732.8855626692. The cubic root of 45331748 is about 356.5612596001.

The spelling of 45331748 in words is "forty-five million, three hundred thirty-one thousand, seven hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 53 77 106 154 212 308 371 583 742 1166 1484 2332 2777 4081 5554 8162 11108 16324 19439 30547 38878 61094 77756 122188 147181 213829 294362 427658 588724 855316 1030267 1618991 2060534 3237982 4121068 6475964 11332937 22665874 45331748