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3868677800 = 2352131487953
BaseRepresentation
bin1110011010010111…
…0101011010101000
3100222121121012020222
43212211311122220
530410340142200
61435515105212
7164604135011
oct34645653250
910877535228
103868677800
111705849989
128bb742208
13498662180
14289b2c008
15179984d85
hexe69756a8

3868677800 has 48 divisors (see below), whose sum is σ = 9686580540. Its totient is φ = 1428433920.

The previous prime is 3868677773. The next prime is 3868677803. The reversal of 3868677800 is 87768683.

It can be written as a sum of positive squares in 6 ways, for example, as 141086884 + 3727590916 = 11878^2 + 61054^2 .

It is not an unprimeable number, because it can be changed into a prime (3868677803) 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 11 ways as a sum of consecutive naturals, for example, 741377 + ... + 746576.

Almost surely, 23868677800 is an apocalyptic number.

It is an amenable number.

3868677800 is an abundant number, since it is smaller than the sum of its proper divisors (5817902740).

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

3868677800 is a wasteful number, since it uses less digits than its factorization.

3868677800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487982 (or 1487973 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 53.

The square root of 3868677800 is about 62198.6961278128. The cubic root of 3868677800 is about 1569.8356488811.

The spelling of 3868677800 in words is "three billion, eight hundred sixty-eight million, six hundred seventy-seven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 1487953 2975906 5951812 7439765 11903624 14879530 19343389 29759060 37198825 38686778 59518120 74397650 77373556 96716945 148795300 154747112 193433890 297590600 386867780 483584725 773735560 967169450 1934338900 3868677800