Search a number
-
+
998531712 = 27382941
BaseRepresentation
bin111011100001000…
…110001010000000
32120120220200000000
4323201012022000
54021111003322
6243030000000
733513244113
oct7341061200
92516820000
10998531712
11472710722
1223a4a6000
1312bb44a89
149688857a
155c9e13ac
hex3b846280

998531712 has 288 divisors, whose sum is σ = 3161913300. Its totient is φ = 313528320.

The previous prime is 998531689. The next prime is 998531759. The reversal of 998531712 is 217135899.

It can be written as a sum of positive squares in 2 ways, for example, as 927567936 + 70963776 = 30456^2 + 8424^2 .

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

Its product of digits (136080) is a multiple of the sum of its prime factors (108).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24354412 + ... + 24354452.

Almost surely, 2998531712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998531712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580956650).

998531712 is an abundant number, since it is smaller than the sum of its proper divisors (2163381588).

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

998531712 is an frugal number, since it uses more digits than its factorization.

998531712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 75 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 998531712 is about 31599.5524018933. The cubic root of 998531712 is about 999.5103309300.

The spelling of 998531712 in words is "nine hundred ninety-eight million, five hundred thirty-one thousand, seven hundred twelve".