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988466112 = 26334353251
BaseRepresentation
bin111010111010101…
…100101111000000
32112212222021121000
4322322230233000
54011021403422
6242030132000
733331552254
oct7272545700
92485867530
10988466112
11467a66247
12237051000
13129a2c3ba
14953c8264
155bba3cac
hex3aeacbc0

988466112 has 224 divisors, whose sum is σ = 3041660160. Its totient is φ = 314496000.

The previous prime is 988466081. The next prime is 988466123. The reversal of 988466112 is 211664889.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3937987 + ... + 3938237.

It is an arithmetic number, because the mean of its divisors is an integer number (13578840).

Almost surely, 2988466112 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 988466112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520830080).

988466112 is an abundant number, since it is smaller than the sum of its proper divisors (2053194048).

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

988466112 is a wasteful number, since it uses less digits than its factorization.

988466112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 988466112 is about 31439.8809158050. The cubic root of 988466112 is about 996.1404940439.

The spelling of 988466112 in words is "nine hundred eighty-eight million, four hundred sixty-six thousand, one hundred twelve".