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4048424001 = 32449824889
BaseRepresentation
bin1111000101001110…
…0000110001000001
3101110010211020200200
43301103200301001
531242344032001
61505415435413
7202216015266
oct36123406101
911403736620
104048424001
111798258966
1294b985b69
134c697767b
142a595b26d
1518a63d086
hexf14e0c41

4048424001 has 6 divisors (see below), whose sum is σ = 5847723570. Its totient is φ = 2698949328.

The previous prime is 4048423969. The next prime is 4048424011. The reversal of 4048424001 is 1004248404.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3182652225 + 865771776 = 56415^2 + 29424^2 .

It is not a de Polignac number, because 4048424001 - 25 = 4048423969 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4048424011) 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 5 ways as a sum of consecutive naturals, for example, 224912436 + ... + 224912453.

It is an arithmetic number, because the mean of its divisors is an integer number (974620595).

Almost surely, 24048424001 is an apocalyptic number.

It is an amenable number.

4048424001 is a deficient number, since it is larger than the sum of its proper divisors (1799299569).

4048424001 is a wasteful number, since it uses less digits than its factorization.

4048424001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449824895 (or 449824892 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 4048424001 is about 63627.2268844085. The cubic root of 4048424001 is about 1593.7810678327.

The spelling of 4048424001 in words is "four billion, forty-eight million, four hundred twenty-four thousand, one".

Divisors: 1 3 9 449824889 1349474667 4048424001