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4244555400 = 2335217939521
BaseRepresentation
bin1111110011111110…
…1100011010001000
3101221210212202101120
43330333230122020
532143101233100
61541103315240
7210120061041
oct37477543210
911853782346
104244555400
111888a39328
129a55abb20
135284a8b57
142c3a138c8
1519c9810a0
hexfcfec688

4244555400 has 96 divisors (see below), whose sum is σ = 13231965600. Its totient is φ = 1125529600.

The previous prime is 4244555389. The next prime is 4244555417. The reversal of 4244555400 is 45554424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87640 + ... + 127160.

It is an arithmetic number, because the mean of its divisors is an integer number (137832975).

Almost surely, 24244555400 is an apocalyptic number.

4244555400 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 4244555400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6615982800).

4244555400 is an abundant number, since it is smaller than the sum of its proper divisors (8987410200).

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

4244555400 is a wasteful number, since it uses less digits than its factorization.

4244555400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39719 (or 39710 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 33.

The square root of 4244555400 is about 65150.2524937548. The cubic root of 4244555400 is about 1619.1139034679.

The spelling of 4244555400 in words is "four billion, two hundred forty-four million, five hundred fifty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 179 200 300 358 537 600 716 895 1074 1432 1790 2148 2685 3580 4296 4475 5370 7160 8950 10740 13425 17900 21480 26850 35800 39521 53700 79042 107400 118563 158084 197605 237126 316168 395210 474252 592815 790420 948504 988025 1185630 1580840 1976050 2371260 2964075 3952100 4742520 5928150 7074259 7904200 11856300 14148518 21222777 23712600 28297036 35371295 42445554 56594072 70742590 84891108 106113885 141485180 169782216 176856475 212227770 282970360 353712950 424455540 530569425 707425900 848911080 1061138850 1414851800 2122277700 4244555400