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988627968 = 21032107273
BaseRepresentation
bin111010111011010…
…100010000000000
32112220021111121200
4322323110100000
54011042043333
6242033421200
733333125166
oct7273242000
92486244550
10988627968
11468066909
1223710a800
13129a87c83
149542b236
155bbd6c13
hex3aed4400

988627968 has 66 divisors (see below), whose sum is σ = 2854668414. Its totient is φ = 329539584.

The previous prime is 988627967. The next prime is 988628029. The reversal of 988627968 is 869726889.

It can be written as a sum of positive squares in only one way, i.e., 589906944 + 398721024 = 24288^2 + 19968^2 .

It is a super-2 number, since 2×9886279682 = 1954770518223618048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (988627961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44421 + ... + 62852.

Almost surely, 2988627968 is an apocalyptic number.

It is an amenable number.

988627968 is an abundant number, since it is smaller than the sum of its proper divisors (1866040446).

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

988627968 is a wasteful number, since it uses less digits than its factorization.

988627968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107299 (or 107278 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The square root of 988627968 is about 31442.4548659929. The cubic root of 988627968 is about 996.1948619561.

The spelling of 988627968 in words is "nine hundred eighty-eight million, six hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 107273 214546 321819 429092 643638 858184 965457 1287276 1716368 1930914 2574552 3432736 3861828 5149104 6865472 7723656 10298208 13730944 15447312 20596416 27461888 30894624 41192832 54923776 61789248 82385664 109847552 123578496 164771328 247156992 329542656 494313984 988627968