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44488444 = 227111341271
BaseRepresentation
bin1010100110110…
…1011011111100
310002201020200011
42221231123330
542342112234
64225313004
71050100630
oct251553374
9102636604
1044488444
1123126910
1212a95764
1392a8830
145ca0dc0
153d8bb64
hex2a6d6fc

44488444 has 96 divisors (see below), whose sum is σ = 107476992. Its totient is φ = 15552000.

The previous prime is 44488429. The next prime is 44488447.

44488444 = T112 + T113 + ... + T644.

44488444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444884442 = 3958443299082272, which contains 22 as substring.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44488397 and 44488406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44488447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164029 + ... + 164299.

It is an arithmetic number, because the mean of its divisors is an integer number (1119552).

Almost surely, 244488444 is an apocalyptic number.

44488444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44488444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53738496).

44488444 is an abundant number, since it is smaller than the sum of its proper divisors (62988548).

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

44488444 is a wasteful number, since it uses less digits than its factorization.

44488444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 345 counting only the distinct ones).

The product of its digits is 262144, while the sum is 40.

The square root of 44488444 is about 6669.9658170039. The cubic root of 44488444 is about 354.3363757702.

It can be divided in two parts, 444 and 88444, that added together give a palindrome (88888).

The spelling of 44488444 in words is "forty-four million, four hundred eighty-eight thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 41 44 52 77 82 91 143 154 164 182 271 286 287 308 364 451 533 542 572 574 902 1001 1066 1084 1148 1804 1897 2002 2132 2981 3157 3523 3731 3794 4004 5863 5962 6314 7046 7462 7588 11111 11726 11924 12628 14092 14924 20867 22222 23452 24661 38753 41041 41734 44444 49322 77506 77777 82082 83468 98644 122221 144443 155012 155554 164164 244442 271271 288886 311108 488884 542542 577772 855547 1011101 1085084 1588873 1711094 2022202 3177746 3422188 4044404 6355492 11122111 22244222 44488444