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4466260040 = 235112922781
BaseRepresentation
bin1000010100011010…
…11011100001001000
3102112021001111222112
410022031123201020
533121330310130
62015103241452
7215451404204
oct41215334110
912467044875
104466260040
1119920a6300
12a478a9288
135623c2428
14305245b04
151b2176495
hex10a35b848

4466260040 has 48 divisors (see below), whose sum is σ = 11045700540. Its totient is φ = 1624092800.

The previous prime is 4466260027. The next prime is 4466260103. The reversal of 4466260040 is 400626644.

It can be written as a sum of positive squares in 2 ways, for example, as 4376351716 + 89908324 = 66154^2 + 9482^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4466259979 and 4466260006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 456551 + ... + 466230.

Almost surely, 24466260040 is an apocalyptic number.

4466260040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4466260040 is an abundant number, since it is smaller than the sum of its proper divisors (6579440500).

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

4466260040 is a wasteful number, since it uses less digits than its factorization.

4466260040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922814 (or 922799 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 4466260040 is about 66830.0833457508. The cubic root of 4466260040 is about 1646.8270876581.

Adding to 4466260040 its reverse (400626644), we get a palindrome (4866886684).

The spelling of 4466260040 in words is "four billion, four hundred sixty-six million, two hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 922781 1845562 3691124 4613905 7382248 9227810 10150591 18455620 20301182 36911240 40602364 50752955 81204728 101505910 111656501 203011820 223313002 406023640 446626004 558282505 893252008 1116565010 2233130020 4466260040