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988729056 = 25327310009
BaseRepresentation
bin111010111011101…
…100111011100000
32112220110122021200
4322323230323200
54011103312211
6242035521200
733334026000
oct7273547340
92486418250
10988729056
11468125857
12237159200
13129ac1ca3
1495456000
155bc06b56
hex3aeecee0

988729056 has 144 divisors (see below), whose sum is σ = 3279276000. Its totient is φ = 282465792.

The previous prime is 988728997. The next prime is 988729067. The reversal of 988729056 is 650927889.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×9887290562 = 1955170292357302272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 988728993 and 988729011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93780 + ... + 103788.

It is an arithmetic number, because the mean of its divisors is an integer number (22772750).

Almost surely, 2988729056 is an apocalyptic number.

988729056 is a gapful number since it is divisible by the number (96) 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 988729056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639638000).

988729056 is an abundant number, since it is smaller than the sum of its proper divisors (2290546944).

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

988729056 is a wasteful number, since it uses less digits than its factorization.

988729056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10046 (or 10021 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 988729056 is about 31444.0623329747. The cubic root of 988729056 is about 996.2288147059.

The spelling of 988729056 in words is "nine hundred eighty-eight million, seven hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 343 392 441 504 588 672 686 784 882 1008 1029 1176 1372 1568 1764 2016 2058 2352 2744 3087 3528 4116 4704 5488 6174 7056 8232 10009 10976 12348 14112 16464 20018 24696 30027 32928 40036 49392 60054 70063 80072 90081 98784 120108 140126 160144 180162 210189 240216 280252 320288 360324 420378 480432 490441 560504 630567 720648 840756 960864 980882 1121008 1261134 1441296 1471323 1681512 1961764 2242016 2522268 2882592 2942646 3363024 3433087 3923528 4413969 5044536 5885292 6726048 6866174 7847056 8827938 10089072 10299261 11770584 13732348 15694112 17655876 20178144 20598522 23541168 27464696 30897783 35311752 41197044 47082336 54929392 61795566 70623504 82394088 109858784 123591132 141247008 164788176 247182264 329576352 494364528 988729056