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2085638832 = 243231467213
BaseRepresentation
bin111110001010000…
…0101001010110000
312101100111102121200
41330110011022300
513232410420312
6542542251200
7102453431454
oct17424051260
95340442550
102085638832
1198031a362
124a2586b00
13273130224
1415adcc664
15c317c0dc
hex7c5052b0

2085638832 has 60 divisors (see below), whose sum is σ = 6025191744. Its totient is φ = 672785280.

The previous prime is 2085638813. The next prime is 2085638837. The reversal of 2085638832 is 2388365802.

2085638832 is a `hidden beast` number, since 2 + 0 + 8 + 5 + 638 + 8 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (2085638837) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 229143 + ... + 238070.

Almost surely, 22085638832 is an apocalyptic number.

It is an amenable number.

2085638832 is an abundant number, since it is smaller than the sum of its proper divisors (3939552912).

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

2085638832 is a wasteful number, since it uses less digits than its factorization.

2085638832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467258 (or 467249 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2085638832 is about 45668.7949479730. The cubic root of 2085638832 is about 1277.6533404068.

The spelling of 2085638832 in words is "two billion, eighty-five million, six hundred thirty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 467213 934426 1401639 1868852 2803278 3737704 4204917 5606556 7475408 8409834 11213112 14483603 16819668 22426224 28967206 33639336 43450809 57934412 67278672 86901618 115868824 130352427 173803236 231737648 260704854 347606472 521409708 695212944 1042819416 2085638832