Search a number
-
+
1988426880 = 27345112317
BaseRepresentation
bin111011010000100…
…1111110010000000
312010120120112220000
41312201033302000
513033014130010
6525150520000
7100163230626
oct16641176200
95116515800
101988426880
11930462600
12475b06000
13258c5476b
1414c125516
15b98787c0
hex7684fc80

1988426880 has 480 divisors, whose sum is σ = 7829888220. Its totient is φ = 480522240.

The previous prime is 1988426873. The next prime is 1988426899. The reversal of 1988426880 is 886248891.

It can be written as a sum of positive squares in 2 ways, for example, as 1761984576 + 226442304 = 41976^2 + 15048^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6272482 + ... + 6272798.

Almost surely, 21988426880 is an apocalyptic number.

1988426880 is a gapful number since it is divisible by the number (10) 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 1988426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914944110).

1988426880 is an abundant number, since it is smaller than the sum of its proper divisors (5841461340).

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

1988426880 is a wasteful number, since it uses less digits than its factorization.

1988426880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 1988426880 is about 44591.7804085013. The cubic root of 1988426880 is about 1257.4861443455.

It can be divided in two parts, 19884 and 26880, that added together give a palindrome (46764).

The spelling of 1988426880 in words is "one billion, nine hundred eighty-eight million, four hundred twenty-six thousand, eight hundred eighty".