Search a number
-
+
44421312 = 263132372
BaseRepresentation
bin1010100101110…
…1000011000000
310002120211120210
42221131003000
542332440222
64224034120
71046401125
oct251350300
9102524523
1044421312
1123090431
1212a62940
139284100
145c8474c
153d76d0c
hex2a5d0c0

44421312 has 126 divisors (see below), whose sum is σ = 130800348. Its totient is φ = 13298688.

The previous prime is 44421287. The next prime is 44421347. The reversal of 44421312 is 21312444.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1200558 + ... + 1200594.

It is an arithmetic number, because the mean of its divisors is an integer number (1038098).

Almost surely, 244421312 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 44421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65400174).

44421312 is an abundant number, since it is smaller than the sum of its proper divisors (86379036).

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

44421312 is a wasteful number, since it uses less digits than its factorization.

44421312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 55 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 44421312 is about 6664.9315075250. The cubic root of 44421312 is about 354.1580576700.

Multiplying 44421312 by its product of digits (768), we get a square (34115567616 = 1847042).

Adding to 44421312 its reverse (21312444), we get a palindrome (65733756).

The spelling of 44421312 in words is "forty-four million, four hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 148 156 169 192 208 222 296 312 338 416 444 481 507 592 624 676 832 888 962 1014 1184 1248 1352 1369 1443 1776 1924 2028 2368 2496 2704 2738 2886 3552 3848 4056 4107 5408 5476 5772 6253 7104 7696 8112 8214 10816 10952 11544 12506 15392 16224 16428 17797 18759 21904 23088 25012 30784 32448 32856 35594 37518 43808 46176 50024 53391 65712 71188 75036 87616 92352 100048 106782 131424 142376 150072 200096 213564 231361 262848 284752 300144 400192 427128 462722 569504 600288 694083 854256 925444 1139008 1200576 1388166 1708512 1850888 2776332 3417024 3701776 5552664 7403552 11105328 14807104 22210656 44421312