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32968033 = 72672817
BaseRepresentation
bin111110111000…
…0110101100001
32022000221122021
41331300311201
531414434113
63134341441
7550136500
oct175606541
968027567
1032968033
111767840a
12b05a881
136aa3c17
144542837
152d6348d
hex1f70d61

32968033 has 6 divisors (see below), whose sum is σ = 38350626. Its totient is φ = 28258272.

The previous prime is 32968027. The next prime is 32968037. The reversal of 32968033 is 33086923.

It can be written as a sum of positive squares in only one way, i.e., 26040609 + 6927424 = 5103^2 + 2632^2 .

It is not a de Polignac number, because 32968033 - 213 = 32959841 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32968033.

It is not an unprimeable number, because it can be changed into a prime (32968037) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 336360 + ... + 336457.

It is an arithmetic number, because the mean of its divisors is an integer number (6391771).

Almost surely, 232968033 is an apocalyptic number.

It is an amenable number.

32968033 is a deficient number, since it is larger than the sum of its proper divisors (5382593).

32968033 is an equidigital number, since it uses as much as digits as its factorization.

32968033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672831 (or 672824 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 32968033 is about 5741.7796021791. The cubic root of 32968033 is about 320.6498285791.

The spelling of 32968033 in words is "thirty-two million, nine hundred sixty-eight thousand, thirty-three".

Divisors: 1 7 49 672817 4709719 32968033