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988494912 = 263219412203
BaseRepresentation
bin111010111010110…
…011110001000000
32112220000202002200
4322322303301000
54011023314122
6242030513200
733332032236
oct7272636100
92486022080
10988494912
11467a85949
12237065800
13129a3c542
14953d4956
155bbac5ac
hex3aeb3c40

988494912 has 168 divisors, whose sum is σ = 3056595360. Its totient is φ = 304404480.

The previous prime is 988494911. The next prime is 988494919. The reversal of 988494912 is 219494889.

988494912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (988494911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447603 + ... + 449805.

It is an arithmetic number, because the mean of its divisors is an integer number (18194020).

Almost surely, 2988494912 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 988494912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528297680).

988494912 is an abundant number, since it is smaller than the sum of its proper divisors (2068100448).

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

988494912 is a wasteful number, since it uses less digits than its factorization.

988494912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2268 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 988494912 is about 31440.3389294708. The cubic root of 988494912 is about 996.1501684837.

The spelling of 988494912 in words is "nine hundred eighty-eight million, four hundred ninety-four thousand, nine hundred twelve".