Search a number
-
+
989898984 = 2332172113421
BaseRepresentation
bin111011000000001…
…010100011101000
32112222200002010100
4323000022203220
54011403231414
6242120545400
733350000604
oct7300124350
92488602110
10989898984
11468854838
12237622260
1312a111659
149567c504
155bd88609
hex3b00a8e8

989898984 has 144 divisors (see below), whose sum is σ = 2879985420. Its totient is φ = 307077120.

The previous prime is 989898983. The next prime is 989898989. The reversal of 989898984 is 489898989.

It can be written as a sum of positive squares in 6 ways, for example, as 147622500 + 842276484 = 12150^2 + 29022^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (989898983) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2351094 + ... + 2351514.

Almost surely, 2989898984 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 989898984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439992710).

989898984 is an abundant number, since it is smaller than the sum of its proper divisors (1890086436).

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

989898984 is a wasteful number, since it uses less digits than its factorization.

989898984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 556 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 72.

The square root of 989898984 is about 31462.6601545387. The cubic root of 989898984 is about 996.6215938921.

The spelling of 989898984 in words is "nine hundred eighty-nine million, eight hundred ninety-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 113 136 153 204 226 289 306 339 408 421 452 578 612 678 842 867 904 1017 1156 1224 1263 1356 1684 1734 1921 2034 2312 2526 2601 2712 3368 3468 3789 3842 4068 5052 5202 5763 6936 7157 7578 7684 8136 10104 10404 11526 14314 15156 15368 17289 20808 21471 23052 28628 30312 32657 34578 42942 46104 47573 57256 64413 65314 69156 85884 95146 97971 121669 128826 130628 138312 142719 171768 190292 195942 243338 257652 261256 285438 293913 365007 380584 391884 428157 486676 515304 570876 587826 730014 783768 808741 856314 973352 1095021 1141752 1175652 1460028 1617482 1712628 2190042 2351304 2426223 2920056 3234964 3425256 4380084 4852446 6469928 7278669 8760168 9704892 13748597 14557338 19409784 27497194 29114676 41245791 54994388 58229352 82491582 109988776 123737373 164983164 247474746 329966328 494949492 989898984