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3996625808 = 247214934213
BaseRepresentation
bin1110111000110111…
…1010101110010000
3101022112100121221002
43232031322232100
531141114011213
61500325321132
7201016521200
oct35615725620
911275317832
103996625808
111770a9a13a
129365661a8
134b900c956
1429cb16400
15185d0a658
hexee37ab90

3996625808 has 60 divisors (see below), whose sum is σ = 9068420700. Its totient is φ = 1701294336.

The previous prime is 3996625799. The next prime is 3996625811. The reversal of 3996625808 is 8085266993.

It can be written as a sum of positive squares in 2 ways, for example, as 1979538064 + 2017087744 = 44492^2 + 44912^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99710 + ... + 133922.

It is an arithmetic number, because the mean of its divisors is an integer number (151140345).

Almost surely, 23996625808 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 3996625808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4534210350).

3996625808 is an abundant number, since it is smaller than the sum of its proper divisors (5071794892).

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

3996625808 is a wasteful number, since it uses less digits than its factorization.

3996625808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34384 (or 34371 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 56.

The square root of 3996625808 is about 63218.8722455565. The cubic root of 3996625808 is about 1586.9545767427.

The spelling of 3996625808 in words is "three billion, nine hundred ninety-six million, six hundred twenty-five thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 149 196 298 392 596 784 1043 1192 2086 2384 4172 7301 8344 14602 16688 29204 34213 58408 68426 116816 136852 239491 273704 478982 547408 957964 1676437 1915928 3352874 3831856 5097737 6705748 10195474 13411496 20390948 26822992 35684159 40781896 71368318 81563792 142736636 249789113 285473272 499578226 570946544 999156452 1998312904 3996625808