Search a number
-
+
988900992 = 27323127691
BaseRepresentation
bin111010111100010…
…110111010000000
32112220210101010200
4322330112322000
54011124312432
6242043325200
733335343162
oct7274267200
92486711120
10988900992
11468232a52
12237220800
13129b52321
149549c932
155bc3ca7c
hex3af16e80

988900992 has 96 divisors (see below), whose sum is σ = 2937567360. Its totient is φ = 318988800.

The previous prime is 988900981. The next prime is 988901047. The reversal of 988900992 is 299009889.

988900992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21867 + ... + 49557.

It is an arithmetic number, because the mean of its divisors is an integer number (30599660).

Almost surely, 2988900992 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 988900992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468783680).

988900992 is an abundant number, since it is smaller than the sum of its proper divisors (1948666368).

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

988900992 is a wasteful number, since it uses less digits than its factorization.

988900992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27742 (or 27727 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The square root of 988900992 is about 31446.7962120150. The cubic root of 988900992 is about 996.2865580848.

The spelling of 988900992 in words is "nine hundred eighty-eight million, nine hundred thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 372 384 496 558 576 744 992 1116 1152 1488 1984 2232 2976 3968 4464 5952 8928 11904 17856 27691 35712 55382 83073 110764 166146 221528 249219 332292 443056 498438 664584 858421 886112 996876 1329168 1716842 1772224 1993752 2575263 2658336 3433684 3544448 3987504 5150526 5316672 6867368 7725789 7975008 10301052 10633344 13734736 15451578 15950016 20602104 27469472 30903156 31900032 41204208 54938944 61806312 82408416 109877888 123612624 164816832 247225248 329633664 494450496 988900992