Search a number
-
+
3878405028 = 2232738391759
BaseRepresentation
bin1110011100101011…
…1100001110100100
3101000021220101111200
43213022330032210
530420332430103
61440503402500
7165052620201
oct34712741644
911007811450
103878405028
111710293113
12902a53430
1349a689824
1428b140ca8
1517a7570a3
hexe72bc3a4

3878405028 has 72 divisors (see below), whose sum is σ = 9955545600. Its totient is φ = 1272848256.

The previous prime is 3878404979. The next prime is 3878405051. The reversal of 3878405028 is 8205048783.

3878405028 is a `hidden beast` number, since 38 + 78 + 40 + 502 + 8 = 666.

It is a super-2 number, since 2×38784050282 = 30084051122431361568, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 2204013 + ... + 2205771.

Almost surely, 23878405028 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 3878405028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4977772800).

3878405028 is an abundant number, since it is smaller than the sum of its proper divisors (6077140572).

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

3878405028 is a wasteful number, since it uses less digits than its factorization.

3878405028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 3878405028 is about 62276.8418274402. The cubic root of 3878405028 is about 1571.1502555525.

The spelling of 3878405028 in words is "three billion, eight hundred seventy-eight million, four hundred five thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 839 876 1314 1678 1759 2517 2628 3356 3518 5034 5277 7036 7551 10068 10554 15102 15831 21108 30204 31662 61247 63324 122494 128407 183741 244988 256814 367482 385221 513628 551223 734964 770442 1102446 1155663 1475801 1540884 2204892 2311326 2951602 4427403 4622652 5903204 8854806 13282209 17709612 26564418 53128836 107733473 215466946 323200419 430933892 646400838 969601257 1292801676 1939202514 3878405028