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33082641 = 331225283
BaseRepresentation
bin111111000110…
…0110100010001
32022020202212000
41332030310101
531432121031
63141024213
7551124564
oct176146421
968222760
1033082641
1117746529
12b0b5069
136b14137
1445724db
152d873e6
hex1f8cd11

33082641 has 8 divisors (see below), whose sum is σ = 49011360. Its totient is φ = 22055076.

The previous prime is 33082639. The next prime is 33082669. The reversal of 33082641 is 14628033.

It is a happy number.

It is not a de Polignac number, because 33082641 - 21 = 33082639 is a prime.

It is a super-3 number, since 3×330826413 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1225283 = 33082641 / (3 + 3 + 0 + 8 + 2 + 6 + 4 + 1).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (33082631) 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 7 ways as a sum of consecutive naturals, for example, 612615 + ... + 612668.

It is an arithmetic number, because the mean of its divisors is an integer number (6126420).

Almost surely, 233082641 is an apocalyptic number.

It is an amenable number.

33082641 is a deficient number, since it is larger than the sum of its proper divisors (15928719).

33082641 is a wasteful number, since it uses less digits than its factorization.

33082641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225292 (or 1225286 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 33082641 is about 5751.7511246576. The cubic root of 33082641 is about 321.0209611607.

The spelling of 33082641 in words is "thirty-three million, eighty-two thousand, six hundred forty-one".

Divisors: 1 3 9 27 1225283 3675849 11027547 33082641