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998876025 = 325274432
BaseRepresentation
bin111011100010011…
…010001101111001
32120121120011022100
4323202122031321
54021203013100
6243041214013
733516210000
oct7342321571
92517504270
10998876025
11472926384
1223a631309
1312bc35704
1496937c37
155ca5d400
hex3b89a379

998876025 has 135 divisors (see below), whose sum is σ = 2136824079. Its totient is φ = 446009760.

The previous prime is 998875991. The next prime is 998876051. The reversal of 998876025 is 520678899.

It is a happy number.

The square root of 998876025 is 31605.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 359595369 + 639280656 = 18963^2 + 25284^2 .

It is not a de Polignac number, because 998876025 - 27 = 998875897 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 23229654 + ... + 23229696.

Almost surely, 2998876025 is an apocalyptic number.

998876025 is the 31605-th square number.

998876025 is the 15803-rd centered octagonal number.

It is an amenable number.

998876025 is an abundant number, since it is smaller than the sum of its proper divisors (1137948054).

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

998876025 is an equidigital number, since it uses as much as digits as its factorization.

998876025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 58 counting only the distinct ones).

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

The cubic root of 998876025 is about 999.6252012101.

The spelling of 998876025 in words is "nine hundred ninety-eight million, eight hundred seventy-six thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 43 45 49 63 75 105 129 147 175 215 225 245 301 315 343 387 441 525 645 735 903 1029 1075 1225 1505 1575 1715 1849 1935 2107 2205 2401 2709 3087 3225 3675 4515 5145 5547 6321 7203 7525 8575 9245 9675 10535 11025 12005 12943 13545 14749 15435 16641 18963 21609 22575 25725 27735 31605 36015 38829 44247 46225 52675 60025 64715 67725 73745 77175 83205 90601 94815 103243 108045 116487 132741 138675 158025 180075 194145 221235 271803 309729 323575 368725 416025 453005 474075 516215 540225 582435 634207 663705 815409 929187 970725 1106175 1359015 1548645 1902621 2265025 2581075 2912175 3171035 3318525 4077045 4439449 4645935 5707863 6795075 7743225 9513105 13318347 15855175 20385225 22197245 23229675 28539315 39955041 47565525 66591735 110986225 142696575 199775205 332958675 998876025