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988042272 = 253724147109
BaseRepresentation
bin111010111001000…
…101010000100000
32112212011202012020
4322321011100200
54010414323042
6242013101440
733325135500
oct7271052040
92485152166
10988042272
114677a6868
12236a87880
131299114c9
1495317a00
155bb1d3ec
hex3ae45420

988042272 has 288 divisors, whose sum is σ = 3185360640. Its totient is φ = 267079680.

The previous prime is 988042259. The next prime is 988042331. The reversal of 988042272 is 272240889.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9064554 + ... + 9064662.

It is an arithmetic number, because the mean of its divisors is an integer number (11060280).

Almost surely, 2988042272 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 988042272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592680320).

988042272 is an abundant number, since it is smaller than the sum of its proper divisors (2197318368).

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

988042272 is a wasteful number, since it uses less digits than its factorization.

988042272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 988042272 is about 31433.1397095486. The cubic root of 988042272 is about 995.9980968013.

The spelling of 988042272 in words is "nine hundred eighty-eight million, forty-two thousand, two hundred seventy-two".