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3907499904 = 273273112931
BaseRepresentation
bin1110100011100111…
…1011011110000000
3101002022122120011200
43220321323132000
531000304444104
61443423141200
7165555126000
oct35071733600
911068576150
103907499904
111725755570
12910744800
134a3705829
14290d56000
1517d0a2b39
hexe8e7b780

3907499904 has 768 divisors, whose sum is σ = 15275520000. Its totient is φ = 948326400.

The previous prime is 3907499903. The next prime is 3907499909. The reversal of 3907499904 is 4099947093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3907499903) 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 95 ways as a sum of consecutive naturals, for example, 126048369 + ... + 126048399.

It is an arithmetic number, because the mean of its divisors is an integer number (19890000).

Almost surely, 23907499904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3907499904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7637760000).

3907499904 is an abundant number, since it is smaller than the sum of its proper divisors (11368020096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3907499904 is a wasteful number, since it uses less digits than its factorization.

3907499904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 3907499904 is about 62509.9984322508. The cubic root of 3907499904 is about 1575.0692710274.

The spelling of 3907499904 in words is "three billion, nine hundred seven million, four hundred ninety-nine thousand, nine hundred four".