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982058985 = 3551922239
BaseRepresentation
bin111010100010010…
…000011111101001
32112102220202200000
4322202100133221
54002401341420
6241240533213
733223235505
oct7242203751
92472822600
10982058985
1146438a4a6
12234a81209
131285c7cbb
14945db305
155b33a690
hex3a8907e9

982058985 has 72 divisors (see below), whose sum is σ = 1863912960. Its totient is φ = 495976608.

The previous prime is 982058981. The next prime is 982059011. The reversal of 982058985 is 589850289.

982058985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 982058985 - 22 = 982058981 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (982058981) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 437496 + ... + 439734.

It is an arithmetic number, because the mean of its divisors is an integer number (25887680).

Almost surely, 2982058985 is an apocalyptic number.

982058985 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

982058985 is a deficient number, since it is larger than the sum of its proper divisors (881853975).

982058985 is a wasteful number, since it uses less digits than its factorization.

982058985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The square root of 982058985 is about 31337.8203613461. The cubic root of 982058985 is about 993.9835364271.

The spelling of 982058985 in words is "nine hundred eighty-two million, fifty-eight thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 171 243 285 361 405 513 855 1083 1215 1539 1805 2239 2565 3249 4617 5415 6717 7695 9747 11195 16245 20151 23085 29241 33585 42541 48735 60453 87723 100755 127623 146205 181359 212705 302265 382869 438615 544077 638115 808279 906795 1148607 1914345 2424837 2720385 3445821 4041395 5743035 7274511 10337463 12124185 17229105 21823533 36372555 51687315 65470599 109117665 196411797 327352995 982058985