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988422480 = 243351932371
BaseRepresentation
bin111010111010100…
…010000101010000
32112212220001202000
4322322202011100
54011014004410
6242025154000
733331311123
oct7272420520
92485801660
10988422480
11467a36491
1223702b900
13129a15596
14953b63ba
155bb95dc0
hex3aea2150

988422480 has 160 divisors (see below), whose sum is σ = 3423649920. Its totient is φ = 262103040.

The previous prime is 988422469. The next prime is 988422511. The reversal of 988422480 is 84224889.

It is a happy number.

988422480 is a `hidden beast` number, since 98 + 84 + 2 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415695 + ... + 418065.

It is an arithmetic number, because the mean of its divisors is an integer number (21397812).

Almost surely, 2988422480 is an apocalyptic number.

988422480 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 988422480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711824960).

988422480 is an abundant number, since it is smaller than the sum of its proper divisors (2435227440).

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

988422480 is a wasteful number, since it uses less digits than its factorization.

988422480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 988422480 is about 31439.1870123895. The cubic root of 988422480 is about 996.1258369096.

The spelling of 988422480 in words is "nine hundred eighty-eight million, four hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 193 216 240 270 360 386 432 540 579 720 772 965 1080 1158 1544 1737 1930 2160 2316 2371 2895 3088 3474 3860 4632 4742 5211 5790 6948 7113 7720 8685 9264 9484 10422 11580 11855 13896 14226 15440 17370 18968 20844 21339 23160 23710 26055 27792 28452 34740 35565 37936 41688 42678 46320 47420 52110 56904 64017 69480 71130 83376 85356 94840 104220 106695 113808 128034 138960 142260 170712 189680 208440 213390 256068 284520 320085 341424 416880 426780 457603 512136 569040 640170 853560 915206 1024272 1280340 1372809 1707120 1830412 2288015 2560680 2745618 3660824 4118427 4576030 5121360 5491236 6864045 7321648 8236854 9152060 10982472 12355281 13728090 16473708 18304120 20592135 21964944 24710562 27456180 32947416 36608240 41184270 49421124 54912360 61776405 65894832 82368540 98842248 109824720 123552810 164737080 197684496 247105620 329474160 494211240 988422480