Search a number
-
+
43144892 = 2272251877
BaseRepresentation
bin1010010010010…
…1011010111100
310000011222122222
42210211122330
542021114032
64140424512
71032503600
oct244453274
9100158588
1043144892
112239943a
1212548138
138c2812b
145a31500
153bc3a12
hex29256bc

43144892 has 36 divisors (see below), whose sum is σ = 88281144. Its totient is φ = 18396000.

The previous prime is 43144891. The next prime is 43144909. The reversal of 43144892 is 29844134.

43144892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×431448922 = 3722963411383328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43144891) 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 11 ways as a sum of consecutive naturals, for example, 48758 + ... + 49634.

It is an arithmetic number, because the mean of its divisors is an integer number (2452254).

Almost surely, 243144892 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 43144892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44140572).

43144892 is an abundant number, since it is smaller than the sum of its proper divisors (45136252).

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

43144892 is a wasteful number, since it uses less digits than its factorization.

43144892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1137 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

The square root of 43144892 is about 6568.4771446660. The cubic root of 43144892 is about 350.7328643855.

The spelling of 43144892 in words is "forty-three million, one hundred forty-four thousand, eight hundred ninety-two".

Divisors: 1 2 4 7 14 28 49 98 196 251 502 877 1004 1754 1757 3508 3514 6139 7028 12278 12299 24556 24598 42973 49196 85946 171892 220127 440254 880508 1540889 3081778 6163556 10786223 21572446 43144892