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4108433940 = 223351333463
BaseRepresentation
bin1111010011100001…
…1011101000010100
3101121022202001212000
43310320123220110
531403224341230
61515401555300
7203545053342
oct36470335024
911538661760
104108433940
111819116256
12967aa5b30
13506229000
142ad8dc992
15190a43b60
hexf4e1ba14

4108433940 has 192 divisors, whose sum is σ = 13850457600. Its totient is φ = 1011014784.

The previous prime is 4108433939. The next prime is 4108434007. The reversal of 4108433940 is 493348014.

4108433940 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4108433895 and 4108433904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1184649 + ... + 1188111.

It is an arithmetic number, because the mean of its divisors is an integer number (72137800).

Almost surely, 24108433940 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 4108433940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6925228800).

4108433940 is an abundant number, since it is smaller than the sum of its proper divisors (9742023660).

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

4108433940 is a wasteful number, since it uses less digits than its factorization.

4108433940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4108433940 is about 64097.0665475418. The cubic root of 4108433940 is about 1601.6173671305.

The spelling of 4108433940 in words is "four billion, one hundred eight million, four hundred thirty-three thousand, nine hundred forty".