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2444442 = 2371121337
BaseRepresentation
bin1001010100110010011010
311121012010220
421110302122
51111210232
6124220510
726530440
oct11246232
94535126
102444442
11141a600
1299a736
13677820
14478b90
1533442c
hex254c9a

2444442 has 96 divisors (see below), whose sum is σ = 6792576. Its totient is φ = 570240.

The previous prime is 2444441. The next prime is 2444467.

2444442 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2444441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66048 + ... + 66084.

It is an arithmetic number, because the mean of its divisors is an integer number (70756).

22444442 is an apocalyptic number.

2444442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2444442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396288).

2444442 is an abundant number, since it is smaller than the sum of its proper divisors (4348134).

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

2444442 is a wasteful number, since it uses less digits than its factorization.

2444442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 73 counting only the distinct ones).

The product of its digits is 4096, while the sum is 24.

The square root of 2444442 is about 1563.4711382050. The cubic root of 2444442 is about 134.7079557847.

It can be divided in two parts, 2 and 444442, that added together give a palindrome (444444).

The spelling of 2444442 in words is "two million, four hundred forty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 121 143 154 182 222 231 242 259 273 286 363 407 429 462 481 518 546 726 777 814 847 858 962 1001 1221 1443 1554 1573 1694 2002 2442 2541 2849 2886 3003 3146 3367 4477 4719 5082 5291 5698 6006 6734 8547 8954 9438 10101 10582 11011 13431 15873 17094 20202 22022 26862 31339 31746 33033 37037 58201 62678 66066 74074 94017 111111 116402 174603 188034 222222 349206 407407 814814 1222221 2444442