Search a number
-
+
3780967225 = 527192933881
BaseRepresentation
bin1110000101011100…
…1111101100111001
3100202111120000222011
43201113033230321
530220411422400
61423103125521
7162460456030
oct34127175471
910674500864
103780967225
111670291702
128962a38a1
13483432319
1427c219717
15171e0b8ba
hexe15cfb39

3780967225 has 48 divisors (see below), whose sum is σ = 5660887680. Its totient is φ = 2447193600.

The previous prime is 3780967207. The next prime is 3780967241. The reversal of 3780967225 is 5227690873.

It is a de Polignac number, because none of the positive numbers 2k-3780967225 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 972285 + ... + 976165.

It is an arithmetic number, because the mean of its divisors is an integer number (117935160).

Almost surely, 23780967225 is an apocalyptic number.

3780967225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3780967225 is a deficient number, since it is larger than the sum of its proper divisors (1879920455).

3780967225 is a wasteful number, since it uses less digits than its factorization.

3780967225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4210 (or 4205 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The square root of 3780967225 is about 61489.5700505378. The cubic root of 3780967225 is about 1557.8810845712.

The spelling of 3780967225 in words is "three billion, seven hundred eighty million, nine hundred sixty-seven thousand, two hundred twenty-five".

Divisors: 1 5 7 19 25 35 95 133 175 293 475 665 1465 2051 3325 3881 5567 7325 10255 19405 27167 27835 38969 51275 73739 97025 135835 139175 194845 368695 516173 679175 974225 1137133 1843475 2580865 5685665 7959931 12904325 21605527 28428325 39799655 108027635 151238689 198998275 540138175 756193445 3780967225