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3882630792 = 2334112731069
BaseRepresentation
bin1110011101101100…
…0011111010001000
3101000120212002011110
43213123003322020
530422423141132
61441134130320
7165133550205
oct34733037210
911016762143
103882630792
111712709a87
129043509a0
1349b509091
1428b920cac
1517acde1cc
hexe76c3e88

3882630792 has 64 divisors (see below), whose sum is σ = 10021939200. Its totient is φ = 1252661760.

The previous prime is 3882630769. The next prime is 3882630859. The reversal of 3882630792 is 2970362883.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 109434 + ... + 140502.

It is an arithmetic number, because the mean of its divisors is an integer number (156592800).

Almost surely, 23882630792 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 3882630792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5010969600).

3882630792 is an abundant number, since it is smaller than the sum of its proper divisors (6139308408).

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

3882630792 is a wasteful number, since it uses less digits than its factorization.

3882630792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31246 (or 31242 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 3882630792 is about 62310.7598412987. The cubic root of 3882630792 is about 1571.7206704770.

The spelling of 3882630792 in words is "three billion, eight hundred eighty-two million, six hundred thirty thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 127 164 246 254 328 381 492 508 762 984 1016 1524 3048 5207 10414 15621 20828 31069 31242 41656 62138 62484 93207 124276 124968 186414 248552 372828 745656 1273829 2547658 3821487 3945763 5095316 7642974 7891526 10190632 11837289 15285948 15783052 23674578 30571896 31566104 47349156 94698312 161776283 323552566 485328849 647105132 970657698 1294210264 1941315396 3882630792