Search a number
-
+
45928350 = 23352132617
BaseRepresentation
bin1010111100110…
…0111110011110
310012102101212000
42233030332132
543224201400
64320223130
71065245616
oct257147636
9105371760
1045928350
1123a1a716
121346aaa6
139691050
146157a46
154073600
hex2bccf9e

45928350 has 96 divisors (see below), whose sum is σ = 136345440. Its totient is φ = 11301120.

The previous prime is 45928331. The next prime is 45928381. The reversal of 45928350 is 5382954.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16242 + ... + 18858.

It is an arithmetic number, because the mean of its divisors is an integer number (1420265).

Almost surely, 245928350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45928350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68172720).

45928350 is an abundant number, since it is smaller than the sum of its proper divisors (90417090).

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

45928350 is a wasteful number, since it uses less digits than its factorization.

45928350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 45928350 is about 6777.0458165782. The cubic root of 45928350 is about 358.1186575451.

The spelling of 45928350 in words is "forty-five million, nine hundred twenty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 90 117 130 135 150 195 225 234 270 325 351 390 450 585 650 675 702 975 1170 1350 1755 1950 2617 2925 3510 5234 5850 7851 8775 13085 15702 17550 23553 26170 34021 39255 47106 65425 68042 70659 78510 102063 117765 130850 141318 170105 196275 204126 235530 306189 340210 353295 392550 510315 588825 612378 706590 850525 918567 1020630 1177650 1530945 1701050 1766475 1837134 2551575 3061890 3532950 4592835 5103150 7654725 9185670 15309450 22964175 45928350