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32948041 = 726411049
BaseRepresentation
bin111110110101…
…1111101001001
32021222221012211
41331223331021
531413314131
63134105121
7550024300
oct175537511
967887184
1032948041
1117664395
12b04b1a1
136a97aa9
144539437
152d5c5b1
hex1f6bf49

32948041 has 12 divisors (see below), whose sum is σ = 38423700. Its totient is φ = 28170240.

The previous prime is 32948011. The next prime is 32948059. The reversal of 32948041 is 14084923.

It can be written as a sum of positive squares in 2 ways, for example, as 29811600 + 3136441 = 5460^2 + 1771^2 .

It is not a de Polignac number, because 32948041 - 27 = 32947913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32947994 and 32948012.

It is not an unprimeable number, because it can be changed into a prime (32948011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30885 + ... + 31933.

It is an arithmetic number, because the mean of its divisors is an integer number (3201975).

Almost surely, 232948041 is an apocalyptic number.

It is an amenable number.

32948041 is a deficient number, since it is larger than the sum of its proper divisors (5475659).

32948041 is a wasteful number, since it uses less digits than its factorization.

32948041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 32948041 is about 5740.0384145056. The cubic root of 32948041 is about 320.5850008556.

The spelling of 32948041 in words is "thirty-two million, nine hundred forty-eight thousand, forty-one".

Divisors: 1 7 49 641 1049 4487 7343 31409 51401 672409 4706863 32948041