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3085828032 = 263717135059
BaseRepresentation
bin1011011111101101…
…1111111111000000
321222001112022021010
42313323133333000
522304432444112
61230112000520
7136320051120
oct26773377700
97861468233
103085828032
111343962301
12721530140
133a2405561
14213b88c80
15130d9963c
hexb7edffc0

3085828032 has 112 divisors (see below), whose sum is σ = 9879909120. Its totient is φ = 829796352.

The previous prime is 3085828021. The next prime is 3085828061. The reversal of 3085828032 is 2308285803.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44682 + ... + 90377.

Almost surely, 23085828032 is an apocalyptic number.

3085828032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3085828032 is an abundant number, since it is smaller than the sum of its proper divisors (6794081088).

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

3085828032 is a wasteful number, since it uses less digits than its factorization.

3085828032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135098 (or 135088 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 3085828032 is about 55550.2298105057. The cubic root of 3085828032 is about 1455.8743904037.

The spelling of 3085828032 in words is "three billion, eighty-five million, eight hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3808 5712 7616 11424 22848 135059 270118 405177 540236 810354 945413 1080472 1620708 1890826 2160944 2296003 2836239 3241416 3781652 4321888 4592006 5672478 6482832 6888009 7563304 8643776 9184012 11344956 12965664 13776018 15126608 16072021 18368024 22689912 25931328 27552036 30253216 32144042 36736048 45379824 48216063 55104072 60506432 64288084 73472096 90759648 96432126 110208144 128576168 146944192 181519296 192864252 220416288 257152336 385728504 440832576 514304672 771457008 1028609344 1542914016 3085828032