Search a number
-
+
45443400 = 23352233789
BaseRepresentation
bin1010110101011…
…0100101001000
310011111202121220
42231112211020
543113142100
64302002040
71061156022
oct255264510
9104452556
1045443400
1123719332
1213276320
1395513b2
14606d012
153ec9aa0
hex2b56948

45443400 has 192 divisors, whose sum is σ = 152668800. Its totient is φ = 11151360.

The previous prime is 45443381. The next prime is 45443417. The reversal of 45443400 is 434454.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510556 + ... + 510644.

It is an arithmetic number, because the mean of its divisors is an integer number (795150).

Almost surely, 245443400 is an apocalyptic number.

45443400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45443400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76334400).

45443400 is an abundant number, since it is smaller than the sum of its proper divisors (107225400).

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

45443400 is a wasteful number, since it uses less digits than its factorization.

45443400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 45443400 is about 6741.1720049261. The cubic root of 45443400 is about 356.8537561361.

Adding to 45443400 its reverse (434454), we get a palindrome (45877854).

The spelling of 45443400 in words is "forty-five million, four hundred forty-three thousand, four hundred".