Search a number
-
+
2938478120 = 235151486503
BaseRepresentation
bin1010111100100101…
…1001111000101000
321120210021011011222
42233021121320220
522004222244440
61203325441212
7132550436414
oct25711317050
97523234158
102938478120
111278770116
126a0110208
1337aa23966
141dc38dd44
15122e902b5
hexaf259e28

2938478120 has 32 divisors (see below), whose sum is σ = 6655374720. Its totient is φ = 1167604800.

The previous prime is 2938478113. The next prime is 2938478129. The reversal of 2938478120 is 218748392.

2938478120 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 (44) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2938478129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237212 + ... + 249291.

It is an arithmetic number, because the mean of its divisors is an integer number (207980460).

Almost surely, 22938478120 is an apocalyptic number.

2938478120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2938478120 is an abundant number, since it is smaller than the sum of its proper divisors (3716896600).

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

2938478120 is a wasteful number, since it uses less digits than its factorization.

2938478120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486665 (or 486661 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 2938478120 is about 54207.7311829226. The cubic root of 2938478120 is about 1432.3225205431.

The spelling of 2938478120 in words is "two billion, nine hundred thirty-eight million, four hundred seventy-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 151 302 604 755 1208 1510 3020 6040 486503 973006 1946012 2432515 3892024 4865030 9730060 19460120 73461953 146923906 293847812 367309765 587695624 734619530 1469239060 2938478120