Search a number
-
+
45874206 = 2327438467
BaseRepresentation
bin1010111011111…
…1110000011110
310012022122120200
42232333300132
543220433311
64315124330
71064632020
oct256776036
9105278520
1045874206
1123992a74
12134436a6
139672501
146142010
154062556
hex2bbfc1e

45874206 has 48 divisors (see below), whose sum is σ = 116248704. Its totient is φ = 12800592.

The previous prime is 45874193. The next prime is 45874207. The reversal of 45874206 is 60247854.

It is a super-2 number, since 2×458742062 = 4208885552260872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45874207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1185 + ... + 9651.

It is an arithmetic number, because the mean of its divisors is an integer number (2421848).

Almost surely, 245874206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45874206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58124352).

45874206 is an abundant number, since it is smaller than the sum of its proper divisors (70374498).

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

45874206 is a wasteful number, since it uses less digits than its factorization.

45874206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8525 (or 8522 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 45874206 is about 6773.0499776688. The cubic root of 45874206 is about 357.9778759358.

The spelling of 45874206 in words is "forty-five million, eight hundred seventy-four thousand, two hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 602 774 903 1806 2709 5418 8467 16934 25401 50802 59269 76203 118538 152406 177807 355614 364081 533421 728162 1066842 1092243 2184486 2548567 3276729 5097134 6553458 7645701 15291402 22937103 45874206