Search a number
-
+
44342740 = 22513295881
BaseRepresentation
bin1010100100100…
…1110111010100
310002102211210201
42221021313110
542322431430
64222230244
71045623061
oct251116724
9102384721
1044342740
11230373a2
1212a25384
139257410
145c63c68
153d5d8ca
hex2a49dd4

44342740 has 48 divisors (see below), whose sum is σ = 103758480. Its totient is φ = 15805440.

The previous prime is 44342731. The next prime is 44342813. The reversal of 44342740 is 4724344.

44342740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 226576 + 44116164 = 476^2 + 6642^2 .

It is a junction number, because it is equal to n+sod(n) for n = 44342699 and 44342708.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4600 + ... + 10480.

It is an arithmetic number, because the mean of its divisors is an integer number (2161635).

Almost surely, 244342740 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 44342740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51879240).

44342740 is an abundant number, since it is smaller than the sum of its proper divisors (59415740).

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

44342740 is a wasteful number, since it uses less digits than its factorization.

44342740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5932 (or 5930 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 28.

The square root of 44342740 is about 6659.0344645451. The cubic root of 44342740 is about 353.9491239514.

The spelling of 44342740 in words is "forty-four million, three hundred forty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 5881 7540 11762 23524 29405 58810 76453 117620 152906 170549 305812 341098 382265 682196 764530 852745 1529060 1705490 2217137 3410980 4434274 8868548 11085685 22171370 44342740