Search a number
-
+
4244442400 = 255211482323
BaseRepresentation
bin1111110011111101…
…0000110100100000
3101221210200000101101
43330333100310200
532143034124100
61541101044144
7210116110432
oct37477206440
911853600341
104244442400
111888971440
129a5556654
135284695a3
142c39c4652
1519c95c86a
hexfcfd0d20

4244442400 has 72 divisors (see below), whose sum is σ = 11303745264. Its totient is φ = 1543430400.

The previous prime is 4244442361. The next prime is 4244442473. The reversal of 4244442400 is 42444424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232362 + ... + 249961.

It is an arithmetic number, because the mean of its divisors is an integer number (156996462).

Almost surely, 24244442400 is an apocalyptic number.

4244442400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4244442400 is an abundant number, since it is smaller than the sum of its proper divisors (7059302864).

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

4244442400 is a wasteful number, since it uses less digits than its factorization.

4244442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482354 (or 482341 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

The square root of 4244442400 is about 65149.3852618733. The cubic root of 4244442400 is about 1619.0995351398.

Adding to 4244442400 its reverse (42444424), we get a palindrome (4286886824).

4244442400 divided by its reverse (42444424) gives a square (100 = 102).

It can be divided in two parts, 4244 and 442400, that added together give a palindrome (446644).

The spelling of 4244442400 in words is "four billion, two hundred forty-four million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 482323 964646 1929292 2411615 3858584 4823230 5305553 7717168 9646460 10611106 12058075 15434336 19292920 21222212 24116150 26527765 38585840 42444424 48232300 53055530 77171680 84888848 96464600 106111060 132638825 169777696 192929200 212222120 265277650 385858400 424444240 530555300 848888480 1061110600 2122221200 4244442400