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3878901648 = 243319346523
BaseRepresentation
bin1110011100110011…
…0101011110010000
3101000022211121202000
43213030311132100
530420444323043
61440522154000
7165060056106
oct34714653620
911008747660
103878901648
1117105a2246
12903052900
1349a80189b
1428b22dc76
1517a8042d3
hexe7335790

3878901648 has 80 divisors (see below), whose sum is σ = 11191813440. Its totient is φ = 1286240256.

The previous prime is 3878901563. The next prime is 3878901671. The reversal of 3878901648 is 8461098783.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3878901594 and 3878901603.

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, 60115 + ... + 106637.

It is an arithmetic number, because the mean of its divisors is an integer number (139897668).

Almost surely, 23878901648 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 3878901648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5595906720).

3878901648 is an abundant number, since it is smaller than the sum of its proper divisors (7312911792).

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

3878901648 is a wasteful number, since it uses less digits than its factorization.

3878901648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46733 (or 46721 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 3878901648 is about 62280.8288962181. The cubic root of 3878901648 is about 1571.2173133021.

The spelling of 3878901648 in words is "three billion, eight hundred seventy-eight million, nine hundred one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 193 216 386 432 579 772 1158 1544 1737 2316 3088 3474 4632 5211 6948 9264 10422 13896 20844 27792 41688 46523 83376 93046 139569 186092 279138 372184 418707 558276 744368 837414 1116552 1256121 1674828 2233104 2512242 3349656 5024484 6699312 8978939 10048968 17957878 20097936 26936817 35915756 53873634 71831512 80810451 107747268 143663024 161620902 215494536 242431353 323241804 430989072 484862706 646483608 969725412 1292967216 1939450824 3878901648