Search a number
-
+
998417880 = 233356071523
BaseRepresentation
bin111011100000101…
…010010111011000
32120120200212212000
4323200222113120
54021043333010
6243023321000
733512261205
oct7340522730
92516625760
10998417880
11472643149
1223a450160
1312bb05015
1496858cac
155c9bc7c0
hex3b82a5d8

998417880 has 128 divisors (see below), whose sum is σ = 3335731200. Its totient is φ = 265631616.

The previous prime is 998417863. The next prime is 998417891. The reversal of 998417880 is 88714899.

998417880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654799 + ... + 656321.

It is an arithmetic number, because the mean of its divisors is an integer number (26060400).

Almost surely, 2998417880 is an apocalyptic number.

998417880 is a gapful number since it is divisible by the number (90) 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 998417880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667865600).

998417880 is an abundant number, since it is smaller than the sum of its proper divisors (2337313320).

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

998417880 is a wasteful number, since it uses less digits than its factorization.

998417880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The square root of 998417880 is about 31597.7511858043. The cubic root of 998417880 is about 999.4723482993.

The spelling of 998417880 in words is "nine hundred ninety-eight million, four hundred seventeen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 607 1080 1214 1523 1821 2428 3035 3046 3642 4569 4856 5463 6070 6092 7284 7615 9105 9138 10926 12140 12184 13707 14568 15230 16389 18210 18276 21852 22845 24280 27315 27414 30460 32778 36420 36552 41121 43704 45690 54630 54828 60920 65556 68535 72840 81945 82242 91380 109260 109656 131112 137070 163890 164484 182760 205605 218520 274140 327780 328968 411210 548280 655560 822420 924461 1644840 1848922 2773383 3697844 4622305 5546766 7395688 8320149 9244610 11093532 13866915 16640298 18489220 22187064 24960447 27733830 33280596 36978440 41600745 49920894 55467660 66561192 83201490 99841788 110935320 124802235 166402980 199683576 249604470 332805960 499208940 998417880