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4428361560 = 2335731316843
BaseRepresentation
bin1000001111111001…
…10110111101011000
3102102121202002001010
410013330312331120
533032130032220
62011231053520
7214511311050
oct40774667530
912377662033
104428361560
111972770647
12a370712a0
135575b32ac
143001bc560
151adb8c1e0
hex107f36f58

4428361560 has 128 divisors (see below), whose sum is σ = 15232366080. Its totient is φ = 1008903168.

The previous prime is 4428361547. The next prime is 4428361577. The reversal of 4428361560 is 651638244.

It is a super-2 number, since 2×44283615602 = 39220772212171267200, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 254499 + ... + 271341.

It is an arithmetic number, because the mean of its divisors is an integer number (119002860).

Almost surely, 24428361560 is an apocalyptic number.

4428361560 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 4428361560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7616183040).

4428361560 is an abundant number, since it is smaller than the sum of its proper divisors (10804004520).

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

4428361560 is a wasteful number, since it uses less digits than its factorization.

4428361560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17177 (or 17173 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 4428361560 is about 66545.9357136106. The cubic root of 4428361560 is about 1642.1557957195.

The spelling of 4428361560 in words is "four billion, four hundred twenty-eight million, three hundred sixty-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 313 420 626 840 939 1252 1565 1878 2191 2504 3130 3756 4382 4695 6260 6573 7512 8764 9390 10955 12520 13146 16843 17528 18780 21910 26292 32865 33686 37560 43820 50529 52584 65730 67372 84215 87640 101058 117901 131460 134744 168430 202116 235802 252645 262920 336860 353703 404232 471604 505290 589505 673720 707406 943208 1010580 1179010 1414812 1768515 2021160 2358020 2829624 3537030 4716040 5271859 7074060 10543718 14148120 15815577 21087436 26359295 31631154 36903013 42174872 52718590 63262308 73806026 79077885 105437180 110709039 126524616 147612052 158155770 184515065 210874360 221418078 295224104 316311540 369030130 442836156 553545195 632623080 738060260 885672312 1107090390 1476120520 2214180780 4428361560