Search a number
-
+
1988427168 = 2532713174463
BaseRepresentation
bin111011010000100…
…1111110110100000
312010120120120021200
41312201033312200
513033014132133
6525150521200
7100163231520
oct16641176640
95116516250
101988427168
11930462842
12475b06200
13258c54930
1414c125680
15b9878913
hex7684fda0

1988427168 has 288 divisors, whose sum is σ = 7370528256. Its totient is φ = 493461504.

The previous prime is 1988427163. The next prime is 1988427169. The reversal of 1988427168 is 8617248891.

1988427168 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1988427163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443305 + ... + 447767.

It is an arithmetic number, because the mean of its divisors is an integer number (25592112).

Almost surely, 21988427168 is an apocalyptic number.

1988427168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1988427168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685264128).

1988427168 is an abundant number, since it is smaller than the sum of its proper divisors (5382101088).

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

1988427168 is a wasteful number, since it uses less digits than its factorization.

1988427168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4516 (or 4505 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The square root of 1988427168 is about 44591.7836377959. The cubic root of 1988427168 is about 1257.4862050561.

The spelling of 1988427168 in words is "one billion, nine hundred eighty-eight million, four hundred twenty-seven thousand, one hundred sixty-eight".