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33057045 = 335734981
BaseRepresentation
bin111111000011…
…0100100010101
32022012110202000
41332012210111
531430311140
63140305513
7550660140
oct176064425
968173660
1033057045
111772927a
12b0a2299
136b055a8
144567057
152d7ea30
hex1f86915

33057045 has 32 divisors (see below), whose sum is σ = 67165440. Its totient is φ = 15111360.

The previous prime is 33057043. The next prime is 33057047. The reversal of 33057045 is 54075033.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33057043) and next prime (33057047).

It is not a de Polignac number, because 33057045 - 21 = 33057043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33057041) 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 31 ways as a sum of consecutive naturals, for example, 16546 + ... + 18435.

It is an arithmetic number, because the mean of its divisors is an integer number (2098920).

Almost surely, 233057045 is an apocalyptic number.

33057045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33057045 is an abundant number, since it is smaller than the sum of its proper divisors (34108395).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33057045 is a wasteful number, since it uses less digits than its factorization.

33057045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35002 (or 34996 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 33057045 is about 5749.5256326066. The cubic root of 33057045 is about 320.9381486211.

It can be divided in two parts, 330 and 57045, that added together give a palindrome (57375).

The spelling of 33057045 in words is "thirty-three million, fifty-seven thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 34981 104943 174905 244867 314829 524715 734601 944487 1224335 1574145 2203803 3673005 4722435 6611409 11019015 33057045