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4428484560 = 243259763409
BaseRepresentation
bin1000001111111010…
…10100111111010000
3102102121222022202200
410013331110333100
533032143001220
62011233443200
7214512332463
oct40775247720
912377868680
104428484560
111972844aa5
12a37110500
13557627286
143002112da
151adbb3890
hex107f54fd0

4428484560 has 120 divisors (see below), whose sum is σ = 15025887240. Its totient is φ = 1168736256.

The previous prime is 4428484493. The next prime is 4428484681. The reversal of 4428484560 is 654848244.

4428484560 is a `hidden beast` number, since 4 + 4 + 2 + 8 + 4 + 84 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5702544 + 4422782016 = 2388^2 + 66504^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×44284845602 = 39222950996316787200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38136 + ... + 101544.

It is an arithmetic number, because the mean of its divisors is an integer number (125215727).

Almost surely, 24428484560 is an apocalyptic number.

4428484560 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 4428484560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7512943620).

4428484560 is an abundant number, since it is smaller than the sum of its proper divisors (10597402680).

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

4428484560 is a wasteful number, since it uses less digits than its factorization.

4428484560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63525 (or 63516 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The square root of 4428484560 is about 66546.8598808389. The cubic root of 4428484560 is about 1642.1709994836.

The spelling of 4428484560 in words is "four billion, four hundred twenty-eight million, four hundred eighty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 97 120 144 180 194 240 291 360 388 485 582 720 776 873 970 1164 1455 1552 1746 1940 2328 2910 3492 3880 4365 4656 5820 6984 7760 8730 11640 13968 17460 23280 34920 63409 69840 126818 190227 253636 317045 380454 507272 570681 634090 760908 951135 1014544 1141362 1268180 1521816 1902270 2282724 2536360 2853405 3043632 3804540 4565448 5072720 5706810 6150673 7609080 9130896 11413620 12301346 15218160 18452019 22827240 24602692 30753365 36904038 45654480 49205384 55356057 61506730 73808076 92260095 98410768 110712114 123013460 147616152 184520190 221424228 246026920 276780285 295232304 369040380 442848456 492053840 553560570 738080760 885696912 1107121140 1476161520 2214242280 4428484560