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988467480 = 23325711132211
BaseRepresentation
bin111010111010101…
…101000100011000
32112212222100110200
4322322231010120
54011021424410
6242030142200
733331556250
oct7272550430
92485870420
10988467480
11467a67280
12237051960
13129a2cc00
14953c8960
155bba43c0
hex3aead118

988467480 has 576 divisors, whose sum is σ = 4357566720. Its totient is φ = 188697600.

The previous prime is 988467479. The next prime is 988467517. The reversal of 988467480 is 84764889.

988467480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4684575 + ... + 4684785.

It is an arithmetic number, because the mean of its divisors is an integer number (7565220).

Almost surely, 2988467480 is an apocalyptic number.

988467480 is a gapful number since it is divisible by the number (90) 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 988467480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178783360).

988467480 is an abundant number, since it is smaller than the sum of its proper divisors (3369099240).

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

988467480 is a wasteful number, since it uses less digits than its factorization.

988467480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 988467480 is about 31439.9026716051. The cubic root of 988467480 is about 996.1409535840.

The spelling of 988467480 in words is "nine hundred eighty-eight million, four hundred sixty-seven thousand, four hundred eighty".