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988913000 = 23531496637
BaseRepresentation
bin111010111100011…
…001110101101000
32112220210222121102
4322330121311220
54011130204000
6242043500532
733335423165
oct7274316550
92486728542
10988913000
11468240a79
12237227748
13129b5792a
14954a306c
155bc413d5
hex3af19d68

988913000 has 64 divisors (see below), whose sum is σ = 2329938000. Its totient is φ = 392851200.

The previous prime is 988912999. The next prime is 988913017. The reversal of 988913000 is 319889.

It can be written as a sum of positive squares in 8 ways, for example, as 129367876 + 859545124 = 11374^2 + 29318^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145682 + ... + 152318.

Almost surely, 2988913000 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 988913000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164969000).

988913000 is an abundant number, since it is smaller than the sum of its proper divisors (1341025000).

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

988913000 is a wasteful number, since it uses less digits than its factorization.

988913000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6807 (or 6793 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 988913000 is about 31446.9871370852. The cubic root of 988913000 is about 996.2905906289.

The spelling of 988913000 in words is "nine hundred eighty-eight million, nine hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 149 200 250 298 500 596 745 1000 1192 1490 2980 3725 5960 6637 7450 13274 14900 18625 26548 29800 33185 37250 53096 66370 74500 132740 149000 165925 265480 331850 663700 829625 988913 1327400 1659250 1977826 3318500 3955652 4944565 6637000 7911304 9889130 19778260 24722825 39556520 49445650 98891300 123614125 197782600 247228250 494456500 988913000