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4442240 = 27511631
BaseRepresentation
bin10000111100100010000000
322100200121102
4100330202000
52114122430
6235113532
752521065
oct20744200
98320542
104442240
112564580
1215a28a8
13bc6c5a
14838c6c
155cb345
hex43c880

4442240 has 64 divisors (see below), whose sum is σ = 11603520. Its totient is φ = 1612800.

The previous prime is 4442233. The next prime is 4442261. The reversal of 4442240 is 422444.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6725 + ... + 7355.

It is an arithmetic number, because the mean of its divisors is an integer number (181305).

Almost surely, 24442240 is an apocalyptic number.

4442240 is a gapful number since it is divisible by the number (40) 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 4442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801760).

4442240 is an abundant number, since it is smaller than the sum of its proper divisors (7161280).

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

4442240 is a wasteful number, since it uses less digits than its factorization.

4442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4442240 is about 2107.6622120254. The cubic root of 4442240 is about 164.3869506557.

Adding to 4442240 its reverse (422444), we get a palindrome (4864684).

It can be divided in two parts, 4 and 442240, that added together give a palindrome (442244).

The spelling of 4442240 in words is "four million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 631 640 704 880 1262 1408 1760 2524 3155 3520 5048 6310 6941 7040 10096 12620 13882 20192 25240 27764 34705 40384 50480 55528 69410 80768 100960 111056 138820 201920 222112 277640 403840 444224 555280 888448 1110560 2221120 4442240