Search a number
-
+
45497862 = 235179523
BaseRepresentation
bin1010110110001…
…1111000000110
310011121112100000
42231203320012
543121412422
64303102130
71061503554
oct255437006
9104545300
1045497862
1123756243
12132a1946
139570117
146084bd4
153edacac
hex2b63e06

45497862 has 48 divisors (see below), whose sum is σ = 102997440. Its totient is φ = 15052392.

The previous prime is 45497849. The next prime is 45497869. The reversal of 45497862 is 26879454.

It is a happy number.

45497862 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45497869) 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 23 ways as a sum of consecutive naturals, for example, 86733 + ... + 87255.

It is an arithmetic number, because the mean of its divisors is an integer number (2145780).

Almost surely, 245497862 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45497862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51498720).

45497862 is an abundant number, since it is smaller than the sum of its proper divisors (57499578).

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

45497862 is a wasteful number, since it uses less digits than its factorization.

45497862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 707 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 45497862 is about 6745.2103006504. The cubic root of 45497862 is about 356.9962572872.

The spelling of 45497862 in words is "forty-five million, four hundred ninety-seven thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 179 243 358 486 523 537 1046 1074 1569 1611 3138 3222 4707 4833 9414 9666 14121 14499 28242 28998 42363 43497 84726 86994 93617 127089 187234 254178 280851 561702 842553 1685106 2527659 5055318 7582977 15165954 22748931 45497862