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44004420 = 223251511619
BaseRepresentation
bin1010011111011…
…1010001000100
310001210122201100
42213313101010
542231120140
64211100100
71043013525
oct247672104
9101718640
1044004420
1122926199
12128a1630
139169425
145bb684c
153ce3530
hex29f7444

44004420 has 72 divisors (see below), whose sum is σ = 134447040. Its totient is φ = 11649600.

The previous prime is 44004419. The next prime is 44004421. The reversal of 44004420 is 2440044.

It is a happy number.

44004420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (44004419) and next prime (44004421).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 44004393 and 44004402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44004421) 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, 26371 + ... + 27989.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 244004420 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 44004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67223520).

44004420 is an abundant number, since it is smaller than the sum of its proper divisors (90442620).

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

44004420 is a wasteful number, since it uses less digits than its factorization.

44004420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 44004420 is about 6633.5827423799. The cubic root of 44004420 is about 353.0466544547.

Adding to 44004420 its reverse (2440044), we get a palindrome (46444464).

The spelling of 44004420 in words is "forty-four million, four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 151 180 302 453 604 755 906 1359 1510 1619 1812 2265 2718 3020 3238 4530 4857 5436 6476 6795 8095 9060 9714 13590 14571 16190 19428 24285 27180 29142 32380 48570 58284 72855 97140 145710 244469 291420 488938 733407 977876 1222345 1466814 2200221 2444690 2933628 3667035 4400442 4889380 7334070 8800884 11001105 14668140 22002210 44004420