Search a number
-
+
44284416 = 293112621
BaseRepresentation
bin1010100011101…
…1101000000000
310002022212210120
42220323220000
542314100131
64221100240
71045261041
oct250735000
9102285716
1044284416
1122aa75a0
12129b7680
1392369c7
145c4a8c8
153d4b496
hex2a3ba00

44284416 has 80 divisors (see below), whose sum is σ = 128750688. Its totient is φ = 13414400.

The previous prime is 44284393. The next prime is 44284417. The reversal of 44284416 is 61448244.

It is a super-2 number, since 2×442844162 = 3922219000922112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 (44284417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15586 + ... + 18206.

Almost surely, 244284416 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 44284416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64375344).

44284416 is an abundant number, since it is smaller than the sum of its proper divisors (84466272).

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

44284416 is a wasteful number, since it uses less digits than its factorization.

44284416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2653 (or 2637 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 44284416 is about 6654.6537099987. The cubic root of 44284416 is about 353.7938727857.

The spelling of 44284416 in words is "forty-four million, two hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2621 2816 4224 5242 5632 7863 8448 10484 15726 16896 20968 28831 31452 41936 57662 62904 83872 86493 115324 125808 167744 172986 230648 251616 335488 345972 461296 503232 670976 691944 922592 1006464 1341952 1383888 1845184 2012928 2767776 3690368 4025856 5535552 7380736 11071104 14761472 22142208 44284416