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4244000000 = 28561061
BaseRepresentation
bin1111110011110110…
…0100110100000000
3101221202211112112012
43330331210310000
532142431000000
61541043352052
7210112255562
oct37475446400
911852745465
104244000000
11188869a019
129a5382628
13528343106
142c390b332
1519c8c1735
hexfcf64d00

4244000000 has 126 divisors (see below), whose sum is σ = 10599122142. Its totient is φ = 1696000000.

The previous prime is 4243999987. The next prime is 4244000017. The reversal of 4244000000 is 4424.

4244000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 4234365184 + 9634816 = 65072^2 + 3104^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3999470 + ... + 4000530.

It is an arithmetic number, because the mean of its divisors is an integer number (84120017).

Almost surely, 24244000000 is an apocalyptic number.

4244000000 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 4244000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299561071).

4244000000 is an abundant number, since it is smaller than the sum of its proper divisors (6355122142).

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

4244000000 is an frugal number, since it uses more digits than its factorization.

4244000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4244000000 is about 65145.9898996093. The cubic root of 4244000000 is about 1619.0432800455.

Adding to 4244000000 its reverse (4424), we get a palindrome (4244004424).

The spelling of 4244000000 in words is "four billion, two hundred forty-four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1061 1250 1280 1600 2000 2122 2500 3125 3200 4000 4244 5000 5305 6250 6400 8000 8488 10000 10610 12500 15625 16000 16976 20000 21220 25000 26525 31250 32000 33952 40000 42440 50000 53050 62500 67904 80000 84880 100000 106100 125000 132625 135808 160000 169760 200000 212200 250000 265250 271616 339520 400000 424400 500000 530500 663125 679040 800000 848800 1000000 1061000 1326250 1358080 1697600 2000000 2122000 2652500 3315625 3395200 4000000 4244000 5305000 6631250 6790400 8488000 10610000 13262500 16578125 16976000 21220000 26525000 33156250 33952000 42440000 53050000 66312500 84880000 106100000 132625000 169760000 212200000 265250000 424400000 530500000 848800000 1061000000 2122000000 4244000000