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4428481512 = 2337137925667
BaseRepresentation
bin1000001111111010…
…10100001111101000
3102102121222011120210
410013331110033220
533032142402022
62011233421120
7214512320550
oct40775241750
912377864523
104428481512
111972842784
12a3710a7a0
13557625a80
14300210160
151adbb2a0c
hex107f543e8

4428481512 has 128 divisors (see below), whose sum is σ = 13799116800. Its totient is φ = 1153122048.

The previous prime is 4428481501. The next prime is 4428481529. The reversal of 4428481512 is 2151848244.

It is a super-2 number, since 2×44284815122 = 39222897004251612288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159703 + ... + 185369.

It is an arithmetic number, because the mean of its divisors is an integer number (107805600).

Almost surely, 24428481512 is an apocalyptic number.

4428481512 is a gapful number since it is divisible by the number (42) 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 4428481512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6899558400).

4428481512 is an abundant number, since it is smaller than the sum of its proper divisors (9370635288).

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

4428481512 is a wasteful number, since it uses less digits than its factorization.

4428481512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25775 (or 25771 counting only the distinct ones).

The product of its digits is 81920, while the sum is 39.

The square root of 4428481512 is about 66546.8369796792. The cubic root of 4428481512 is about 1642.1706227303.

The spelling of 4428481512 in words is "four billion, four hundred twenty-eight million, four hundred eighty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 79 84 91 104 156 158 168 182 237 273 312 316 364 474 546 553 632 728 948 1027 1092 1106 1659 1896 2054 2184 2212 3081 3318 4108 4424 6162 6636 7189 8216 12324 13272 14378 21567 24648 25667 28756 43134 51334 57512 77001 86268 102668 154002 172536 179669 205336 308004 333671 359338 539007 616008 667342 718676 1001013 1078014 1334684 1437352 2002026 2027693 2156028 2335697 2669368 4004052 4055386 4312056 4671394 6083079 7007091 8008104 8110772 9342788 12166158 14014182 14193851 16221544 18685576 24332316 26360009 28028364 28387702 42581553 48664632 52720018 56056728 56775404 79080027 85163106 105440036 113550808 158160054 170326212 184520063 210880072 316320108 340652424 369040126 553560189 632640216 738080252 1107120378 1476160504 2214240756 4428481512