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32055993 = 343731061
BaseRepresentation
bin111101001001…
…0001010111001
32020022121120000
41322102022321
531201242433
63103023213
7536320464
oct172221271
966277500
1032055993
1117105162
12a89ab09
136844a58
1443862db
152c33113
hex1e922b9

32055993 has 20 divisors (see below), whose sum is σ = 48059748. Its totient is φ = 21293280.

The previous prime is 32055977. The next prime is 32056001. The reversal of 32055993 is 39955023.

It can be written as a sum of positive squares in 2 ways, for example, as 19289664 + 12766329 = 4392^2 + 3573^2 .

It is not a de Polignac number, because 32055993 - 24 = 32055977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32055893) 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 19 ways as a sum of consecutive naturals, for example, 29683 + ... + 30743.

Almost surely, 232055993 is an apocalyptic number.

It is an amenable number.

32055993 is a deficient number, since it is larger than the sum of its proper divisors (16003755).

32055993 is a wasteful number, since it uses less digits than its factorization.

32055993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

The square root of 32055993 is about 5661.8012151611. The cubic root of 32055993 is about 317.6652761339.

The spelling of 32055993 in words is "thirty-two million, fifty-five thousand, nine hundred ninety-three".

Divisors: 1 3 9 27 81 373 1061 1119 3183 3357 9549 10071 28647 30213 85941 395753 1187259 3561777 10685331 32055993