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4435056040 = 235110876401
BaseRepresentation
bin1000010000101100…
…11001010110101000
3102110002100012010211
410020112121112220
533040333243130
62012030350504
7214622232352
oct41026312650
912402305124
104435056040
111976523278
12a3935b434
13558ab841c
143010420d2
151ae560a2a
hex1085995a8

4435056040 has 16 divisors (see below), whose sum is σ = 9978876180. Its totient is φ = 1774022400.

The previous prime is 4435056001. The next prime is 4435056047. The reversal of 4435056040 is 406505344.

It can be written as a sum of positive squares in 2 ways, for example, as 4426773156 + 8282884 = 66534^2 + 2878^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4435055993 and 4435056011.

It is not an unprimeable number, because it can be changed into a prime (4435056047) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 55438161 + ... + 55438240.

Almost surely, 24435056040 is an apocalyptic number.

4435056040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4435056040 is an abundant number, since it is smaller than the sum of its proper divisors (5543820140).

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

4435056040 is a wasteful number, since it uses less digits than its factorization.

4435056040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110876412 (or 110876408 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 4435056040 is about 66596.2164090423. The cubic root of 4435056040 is about 1642.9828769445.

The spelling of 4435056040 in words is "four billion, four hundred thirty-five million, fifty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 110876401 221752802 443505604 554382005 887011208 1108764010 2217528020 4435056040