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4108708640 = 25573351773
BaseRepresentation
bin1111010011100101…
…1110101100100000
3101121100021000200002
43310321132230200
531403312134030
61515411515132
7203550306251
oct36471365440
911540230602
104108708640
111819293683
12967bb8aa8
135062c405a
142ad970b28
15190a9a245
hexf4e5eb20

4108708640 has 48 divisors (see below), whose sum is σ = 9839822328. Its totient is φ = 1620965376.

The previous prime is 4108708621. The next prime is 4108708649. The reversal of 4108708640 is 468078014.

It can be written as a sum of positive squares in 4 ways, for example, as 3830619664 + 278088976 = 61892^2 + 16676^2 .

It is a super-3 number, since 3×41087086403 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4108708594 and 4108708603.

It is not an unprimeable number, because it can be changed into a prime (4108708649) 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 7 ways as a sum of consecutive naturals, for example, 164207 + ... + 187566.

Almost surely, 24108708640 is an apocalyptic number.

4108708640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4108708640 is an abundant number, since it is smaller than the sum of its proper divisors (5731113688).

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

4108708640 is a wasteful number, since it uses less digits than its factorization.

4108708640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351861 (or 351853 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 4108708640 is about 64099.2093554983. The cubic root of 4108708640 is about 1601.6530623607.

The spelling of 4108708640 in words is "four billion, one hundred eight million, seven hundred eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2336 2920 5840 11680 351773 703546 1407092 1758865 2814184 3517730 5628368 7035460 11256736 14070920 25679429 28141840 51358858 56283680 102717716 128397145 205435432 256794290 410870864 513588580 821741728 1027177160 2054354320 4108708640