Search a number
-
+
989148888 = 23337313279
BaseRepresentation
bin111010111101010…
…011011011011000
32112221020222012000
4322331103123120
54011210231023
6242052521000
733340425000
oct7275233330
92487228160
10989148888
11468392222
12237320160
13129c0b100
1495525000
155bc8b243
hex3af536d8

989148888 has 384 divisors, whose sum is σ = 3513600000. Its totient is φ = 257572224.

The previous prime is 989148883. The next prime is 989148889. The reversal of 989148888 is 888841989.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989148883) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12520833 + ... + 12520911.

It is an arithmetic number, because the mean of its divisors is an integer number (9150000).

Almost surely, 2989148888 is an apocalyptic number.

989148888 is a gapful number since it is divisible by the number (98) 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 989148888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756800000).

989148888 is an abundant number, since it is smaller than the sum of its proper divisors (2524451112).

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

989148888 is a wasteful number, since it uses less digits than its factorization.

989148888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 104 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 63.

The square root of 989148888 is about 31450.7374794296. The cubic root of 989148888 is about 996.3698002632.

The spelling of 989148888 in words is "nine hundred eighty-nine million, one hundred forty-eight thousand, eight hundred eighty-eight".