Search a number
-
+
45243016 = 23713292143
BaseRepresentation
bin1010110010010…
…1101010001000
310011010120202021
42230211222020
543040234031
64253414224
71056362560
oct254455210
9104116667
1045243016
11235a1825
121319a374
1394b1120
146019da0
153e8a511
hex2b25a88

45243016 has 64 divisors (see below), whose sum is σ = 108057600. Its totient is φ = 17273088.

The previous prime is 45243013. The next prime is 45243041. The reversal of 45243016 is 61034254.

It is not an unprimeable number, because it can be changed into a prime (45243013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20041 + ... + 22183.

It is an arithmetic number, because the mean of its divisors is an integer number (1688400).

Almost surely, 245243016 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 45243016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54028800).

45243016 is an abundant number, since it is smaller than the sum of its proper divisors (62814584).

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

45243016 is a wasteful number, since it uses less digits than its factorization.

45243016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 45243016 is about 6726.2928868731. The cubic root of 45243016 is about 356.3284642600.

The spelling of 45243016 in words is "forty-five million, two hundred forty-three thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 29 52 56 58 91 104 116 182 203 232 364 377 406 728 754 812 1508 1624 2143 2639 3016 4286 5278 8572 10556 15001 17144 21112 27859 30002 55718 60004 62147 111436 120008 124294 195013 222872 248588 390026 435029 497176 780052 807911 870058 1560104 1615822 1740116 3231644 3480232 5655377 6463288 11310754 22621508 45243016