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33485971 = 1741107449
BaseRepresentation
bin111111110111…
…1010010010011
32100000021010011
41333233102103
532033022341
63153415351
7554424511
oct177572223
970007104
1033485971
11179a1562
12b26a557
136c258ac
1446394b1
152e16b81
hex1fef493

33485971 has 16 divisors (see below), whose sum is σ = 36741600. Its totient is φ = 30392320.

The previous prime is 33485957. The next prime is 33485989. The reversal of 33485971 is 17958433.

It is a cyclic number.

It is not a de Polignac number, because 33485971 - 25 = 33485939 is a prime.

It is a super-2 number, since 2×334859712 = 2242620507625682, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33485941) 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 15 ways as a sum of consecutive naturals, for example, 74355 + ... + 74803.

It is an arithmetic number, because the mean of its divisors is an integer number (2296350).

Almost surely, 233485971 is an apocalyptic number.

33485971 is a deficient number, since it is larger than the sum of its proper divisors (3255629).

33485971 is a wasteful number, since it uses less digits than its factorization.

33485971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614.

The product of its digits is 90720, while the sum is 40.

The square root of 33485971 is about 5786.7064034734. The cubic root of 33485971 is about 322.3202804524.

The spelling of 33485971 in words is "thirty-three million, four hundred eighty-five thousand, nine hundred seventy-one".

Divisors: 1 17 41 107 449 697 1819 4387 7633 18409 48043 74579 312953 816731 1969763 33485971