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4009386241 = 725359137191
BaseRepresentation
bin1110111011111010…
…0110000100000001
3101100102100220221201
43232332212010001
531202400324431
61501503021201
7201233135500
oct35676460401
911312326851
104009386241
111778215253
1293a89a801
134bb859ac3
142a06b8837
15186ecb461
hexeefa6101

4009386241 has 48 divisors (see below), whose sum is σ = 4893281280. Its totient is φ = 3273204480.

The previous prime is 4009386217. The next prime is 4009386253. The reversal of 4009386241 is 1426839004.

4009386241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4009386241 - 27 = 4009386113 is a prime.

It is a super-2 number, since 2×40093862412 = 32150356059040220162, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4009386241.

It is not an unprimeable number, because it can be changed into a prime (4009386211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20991456 + ... + 20991646.

It is an arithmetic number, because the mean of its divisors is an integer number (101943360).

Almost surely, 24009386241 is an apocalyptic number.

It is an amenable number.

4009386241 is a deficient number, since it is larger than the sum of its proper divisors (883895039).

4009386241 is a wasteful number, since it uses less digits than its factorization.

4009386241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 4009386241 is about 63319.7144734561. The cubic root of 4009386241 is about 1588.6417261046.

The spelling of 4009386241 in words is "four billion, nine million, three hundred eighty-six thousand, two hundred forty-one".

Divisors: 1 7 49 53 59 137 191 371 413 959 1337 2597 2891 3127 6713 7261 8083 9359 10123 11269 21889 26167 50827 56581 70861 78883 153223 183169 355789 396067 428399 496027 552181 597257 1282183 1386851 1543853 2998793 4180799 9707957 10806971 20991551 29265593 67955699 75648797 81824209 572769463 4009386241