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828033045 = 35753148793
BaseRepresentation
bin110001010110101…
…100100000010101
32010201002102210120
4301112230200111
53143434024140
6214055342153
726343110340
oct6126544025
92121072716
10828033045
11395448534
121b1381959
131027197a8
147bd85457
154ca631d0
hex315ac815

828033045 has 32 divisors (see below), whose sum is σ = 1542696192. Its totient is φ = 371384832.

The previous prime is 828033029. The next prime is 828033061. The reversal of 828033045 is 540330828.

It is an interprime number because it is at equal distance from previous prime (828033029) and next prime (828033061).

It is not a de Polignac number, because 828033045 - 24 = 828033029 is a prime.

It is a super-2 number, since 2×8280330452 = 1371277447223944050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 828032997 and 828033015.

It is a congruent number.

It is an unprimeable number.

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, 68832 + ... + 79961.

It is an arithmetic number, because the mean of its divisors is an integer number (48209256).

Almost surely, 2828033045 is an apocalyptic number.

It is an amenable number.

828033045 is a deficient number, since it is larger than the sum of its proper divisors (714663147).

828033045 is a wasteful number, since it uses less digits than its factorization.

828033045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148861.

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 828033045 is about 28775.5633307152. The cubic root of 828033045 is about 939.0366791045.

The spelling of 828033045 in words is "eight hundred twenty-eight million, thirty-three thousand, forty-five".

Divisors: 1 3 5 7 15 21 35 53 105 159 265 371 795 1113 1855 5565 148793 446379 743965 1041551 2231895 3124653 5207755 7886029 15623265 23658087 39430145 55202203 118290435 165606609 276011015 828033045