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244441428 = 2237111371931
BaseRepresentation
bin11101001000111…
…10000101010100
3122000221220121020
432210132011110
51000034111203
640131121140
76025501140
oct1644360524
9560856536
10244441428
11115a87510
1269a431b0
133b8475ca
1424670220
15166d7153
hexe91e154

244441428 has 96 divisors (see below), whose sum is σ = 716663808. Its totient is φ = 62995200.

The previous prime is 244441423. The next prime is 244441429. The reversal of 244441428 is 824144442.

It is a super-2 number, since 2×2444414282 = 119503223445358368, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244441423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125623 + ... + 127553.

It is an arithmetic number, because the mean of its divisors is an integer number (7465248).

Almost surely, 2244441428 is an apocalyptic number.

244441428 is a gapful number since it is divisible by the number (28) 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 244441428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358331904).

244441428 is an abundant number, since it is smaller than the sum of its proper divisors (472222380).

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

244441428 is a wasteful number, since it uses less digits than its factorization.

244441428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2091 counting only the distinct ones).

The product of its digits is 32768, while the sum is 33.

The square root of 244441428 is about 15634.6227328964. The cubic root of 244441428 is about 625.2565798791.

It can be divided in two parts, 2444414 and 28, that added together give a palindrome (2444442).

The spelling of 244441428 in words is "two hundred forty-four million, four hundred forty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 137 154 231 274 308 411 462 548 822 924 959 1507 1644 1918 1931 2877 3014 3836 3862 4521 5754 5793 6028 7724 9042 10549 11508 11586 13517 18084 21098 21241 23172 27034 31647 40551 42196 42482 54068 63294 63723 81102 84964 126588 127446 148687 162204 254892 264547 297374 446061 529094 594748 793641 892122 1058188 1587282 1784244 1851829 2910017 3174564 3703658 5555487 5820034 7407316 8730051 11110974 11640068 17460102 20370119 22221948 34920204 40740238 61110357 81480476 122220714 244441428