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4448008137 = 34735338929
BaseRepresentation
bin1000010010001111…
…10011011111001001
3102110222201020002010
410021013303133021
533102142230022
62013212130133
7215140305516
oct41107633711
912428636063
104448008137
11198286a391
12a41766949
1355b6a18a1
14302a5430d
151b076d50c
hex1091f37c9

4448008137 has 16 divisors (see below), whose sum is σ = 6059255040. Its totient is φ = 2901100032.

The previous prime is 4448008133. The next prime is 4448008151. The reversal of 4448008137 is 7318008444.

It is not a de Polignac number, because 4448008137 - 22 = 4448008133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4448008095 and 4448008104.

It is not an unprimeable number, because it can be changed into a prime (4448008133) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 493689 + ... + 502617.

It is an arithmetic number, because the mean of its divisors is an integer number (378703440).

Almost surely, 24448008137 is an apocalyptic number.

4448008137 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

4448008137 is a deficient number, since it is larger than the sum of its proper divisors (1611246903).

4448008137 is a wasteful number, since it uses less digits than its factorization.

4448008137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12512.

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 4448008137 is about 66693.3890052080. The cubic root of 4448008137 is about 1644.5807065673.

The spelling of 4448008137 in words is "four billion, four hundred forty-eight million, eight thousand, one hundred thirty-seven".

Divisors: 1 3 47 141 3533 8929 10599 26787 166051 419663 498153 1258989 31546157 94638471 1482669379 4448008137