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4838432305 = 571711371963
BaseRepresentation
bin1001000000110010…
…01001111000110001
3110111012100211100111
410200121021320301
534402114313210
62120040221321
7230620665430
oct44031117061
913435324314
104838432305
112063194893
12b3046a841
135c153c6c5
1433c845117
151d4b8e88a
hex120649e31

4838432305 has 32 divisors (see below), whose sum is σ = 7088166144. Its totient is φ = 3094941696.

The previous prime is 4838432281. The next prime is 4838432309. The reversal of 4838432305 is 5032348384.

It is not a de Polignac number, because 4838432305 - 211 = 4838430257 is a prime.

It is a super-2 number, since 2×48384323052 = 46820854340135226050, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4838432309) 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 31 ways as a sum of consecutive naturals, for example, 31254 + ... + 103216.

It is an arithmetic number, because the mean of its divisors is an integer number (221505192).

Almost surely, 24838432305 is an apocalyptic number.

It is an amenable number.

4838432305 is a deficient number, since it is larger than the sum of its proper divisors (2249733839).

4838432305 is a wasteful number, since it uses less digits than its factorization.

4838432305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72105.

The product of its (nonzero) digits is 276480, while the sum is 40.

The square root of 4838432305 is about 69558.8405955706. The cubic root of 4838432305 is about 1691.3554599561.

The spelling of 4838432305 in words is "four billion, eight hundred thirty-eight million, four hundred thirty-two thousand, three hundred five".

Divisors: 1 5 7 17 35 85 113 119 565 595 791 1921 3955 9605 13447 67235 71963 359815 503741 1223371 2518705 6116855 8131819 8563597 40659095 42817985 56922733 138240923 284613665 691204615 967686461 4838432305