Search a number
-
+
45386740 = 22572291597
BaseRepresentation
bin1010110100100…
…0101111110100
310011101212220101
42231020233310
543104333430
64300443444
71060531600
oct255105764
9104355811
1045386740
112368a803
1213249584
139531679
146056500
153eb7dca
hex2b48bf4

45386740 has 72 divisors (see below), whose sum is σ = 114768360. Its totient is φ = 15015168.

The previous prime is 45386729. The next prime is 45386743. The reversal of 45386740 is 4768354.

It can be written as a sum of positive squares in 4 ways, for example, as 1350244 + 44036496 = 1162^2 + 6636^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45386740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45386743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27622 + ... + 29218.

It is an arithmetic number, because the mean of its divisors is an integer number (1594005).

Almost surely, 245386740 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 45386740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57384180).

45386740 is an abundant number, since it is smaller than the sum of its proper divisors (69381620).

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

45386740 is a wasteful number, since it uses less digits than its factorization.

45386740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 45386740 is about 6736.9681608272. The cubic root of 45386740 is about 356.7053829732.

The spelling of 45386740 in words is "forty-five million, three hundred eighty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 406 490 580 812 980 1015 1421 1597 2030 2842 3194 4060 5684 6388 7105 7985 11179 14210 15970 22358 28420 31940 44716 46313 55895 78253 92626 111790 156506 185252 223580 231565 313012 324191 391265 463130 648382 782530 926260 1296764 1565060 1620955 2269337 3241910 4538674 6483820 9077348 11346685 22693370 45386740