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983285325 = 34521124013
BaseRepresentation
bin111010100110111…
…011111001001101
32112112020001220000
4322212323321031
54003210112300
6241323114513
733236534031
oct7246737115
92475201800
10983285325
11465047900
12235372a39
13128937249
149483a1c1
155b4cdc00
hex3a9bbe4d

983285325 has 90 divisors (see below), whose sum is σ = 2002516362. Its totient is φ = 476625600.

The previous prime is 983285293. The next prime is 983285357. The reversal of 983285325 is 523582389.

983285325 is a `hidden beast` number, since 98 + 3 + 28 + 532 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (983285293) and next prime (983285357).

It can be written as a sum of positive squares in 3 ways, for example, as 175986756 + 807298569 = 13266^2 + 28413^2 .

It is not a de Polignac number, because 983285325 - 25 = 983285293 is a prime.

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 (19) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 243019 + ... + 247031.

Almost surely, 2983285325 is an apocalyptic number.

It is an amenable number.

983285325 is an abundant number, since it is smaller than the sum of its proper divisors (1019231037).

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

983285325 is a wasteful number, since it uses less digits than its factorization.

983285325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4032 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 983285325 is about 31357.3807101295. The cubic root of 983285325 is about 994.3971078961.

The spelling of 983285325 in words is "nine hundred eighty-three million, two hundred eighty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 121 135 165 225 275 297 363 405 495 605 675 825 891 1089 1485 1815 2025 2475 3025 3267 4013 4455 5445 7425 9075 9801 12039 16335 20065 22275 27225 36117 44143 49005 60195 81675 100325 108351 132429 180585 220715 245025 300975 325053 397287 485573 541755 662145 902925 1103575 1191861 1456719 1625265 1986435 2427865 2708775 3310725 3575583 4370157 5959305 7283595 8126325 9932175 12139325 13110471 17877915 21850785 29796525 36417975 39331413 65552355 89389575 109253925 196657065 327761775 983285325