Search a number
-
+
989292768 = 25310305133
BaseRepresentation
bin111010111101110…
…110100011100000
32112221112021112220
4322331312203200
54011224332033
6242055551040
733341564322
oct7275664340
92487467486
10989292768
11468480332
1223738b480
13129c5b749
1495561612
155bcb8bb3
hex3af768e0

989292768 has 24 divisors (see below), whose sum is σ = 2596893768. Its totient is φ = 329764224.

The previous prime is 989292763. The next prime is 989292769. The reversal of 989292768 is 867292989.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989292763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5152471 + ... + 5152662.

It is an arithmetic number, because the mean of its divisors is an integer number (108203907).

Almost surely, 2989292768 is an apocalyptic number.

It is an amenable number.

989292768 is an abundant number, since it is smaller than the sum of its proper divisors (1607601000).

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

989292768 is a wasteful number, since it uses less digits than its factorization.

989292768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10305146 (or 10305138 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 60.

The square root of 989292768 is about 31453.0247829998. The cubic root of 989292768 is about 996.4181080351.

The spelling of 989292768 in words is "nine hundred eighty-nine million, two hundred ninety-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 10305133 20610266 30915399 41220532 61830798 82441064 123661596 164882128 247323192 329764256 494646384 989292768