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44414144 = 261016871
BaseRepresentation
bin1010100101101…
…1010011000000
310002120110202022
42221123103000
542332223034
64223541012
71046341205
oct251332300
9102513668
1044414144
1123086005
1212a5a768
139280a78
145c81cac
153d74b2e
hex2a5b4c0

44414144 has 28 divisors (see below), whose sum is σ = 89019888. Its totient is φ = 21984000.

The previous prime is 44414137. The next prime is 44414147. The reversal of 44414144 is 44141444.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (44414147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3029 + ... + 9899.

Almost surely, 244414144 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 44414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44509944).

44414144 is an abundant number, since it is smaller than the sum of its proper divisors (44605744).

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

44414144 is a wasteful number, since it uses less digits than its factorization.

44414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6984 (or 6974 counting only the distinct ones).

The product of its digits is 4096, while the sum is 26.

The square root of 44414144 is about 6664.3937458707. The cubic root of 44414144 is about 354.1390071933.

Adding to 44414144 its reverse (44141444), we get a palindrome (88555588).

The spelling of 44414144 in words is "forty-four million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 101 202 404 808 1616 3232 6464 6871 13742 27484 54968 109936 219872 439744 693971 1387942 2775884 5551768 11103536 22207072 44414144