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3683883808 = 251165915881
BaseRepresentation
bin1101101110010011…
…1001101100100000
3100111201212200120001
43123210321230200
530021033240213
61405314225344
7160201332013
oct33344715440
910451780501
103683883808
111620502480
12869885254
134692a0207
1426d38737a
151686311dd
hexdb939b20

3683883808 has 48 divisors (see below), whose sum is σ = 7924482720. Its totient is φ = 1671846400.

The previous prime is 3683883787. The next prime is 3683883811. The reversal of 3683883808 is 8083883863.

It is a happy number.

3683883808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224028 + ... + 239908.

It is an arithmetic number, because the mean of its divisors is an integer number (165093390).

Almost surely, 23683883808 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 3683883808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962241360).

3683883808 is an abundant number, since it is smaller than the sum of its proper divisors (4240598912).

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

3683883808 is a wasteful number, since it uses less digits than its factorization.

3683883808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16561 (or 16553 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 55.

The square root of 3683883808 is about 60695.0064502839. The cubic root of 3683883808 is about 1544.4314659473.

Adding to 3683883808 its sum of digits (55), we get a palindrome (3683883863).

The spelling of 3683883808 in words is "three billion, six hundred eighty-three million, eight hundred eighty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 659 1318 2636 5272 7249 10544 14498 15881 21088 28996 31762 57992 63524 115984 127048 174691 231968 254096 349382 508192 698764 1397528 2795056 5590112 10465579 20931158 41862316 83724632 115121369 167449264 230242738 334898528 460485476 920970952 1841941904 3683883808