Search a number
-
+
4107033437 = 13261398393
BaseRepresentation
bin1111010011001100…
…0101101101011101
3101121020002220201112
43310303011231131
531402400032222
61515311551405
7203530131263
oct36463055535
911536086645
104107033437
11181834a011
1296752b565
13505b58700
142ad656433
15190868be2
hexf4cc5b5d

4107033437 has 12 divisors (see below), whose sum is σ = 4520178324. Its totient is φ = 3728949120.

The previous prime is 4107033409. The next prime is 4107033443. The reversal of 4107033437 is 7343307014.

4107033437 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1609132996 + 2497900441 = 40114^2 + 49979^2 .

It is not a de Polignac number, because 4107033437 - 226 = 4039924573 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4107033487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188888 + ... + 209505.

It is an arithmetic number, because the mean of its divisors is an integer number (376681527).

Almost surely, 24107033437 is an apocalyptic number.

It is an amenable number.

4107033437 is a deficient number, since it is larger than the sum of its proper divisors (413144887).

4107033437 is a wasteful number, since it uses less digits than its factorization.

4107033437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398480 (or 398467 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 32.

The square root of 4107033437 is about 64086.1407560168. The cubic root of 4107033437 is about 1601.4353574009.

The spelling of 4107033437 in words is "four billion, one hundred seven million, thirty-three thousand, four hundred thirty-seven".

Divisors: 1 13 61 169 793 10309 398393 5179109 24301973 67328417 315925649 4107033437