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87825045 = 3571176039
BaseRepresentation
bin1010011110000…
…01101010010101
320010020222022110
411033001222111
5134440400140
612414221233
72114333460
oct517015225
9203228273
1087825045
1145636290
12254b4819
131526cca9
14b9422d7
157a9c380
hex53c1a95

87825045 has 32 divisors (see below), whose sum is σ = 175196160. Its totient is φ = 36498240.

The previous prime is 87825041. The next prime is 87825053. The reversal of 87825045 is 54052878.

It is not a de Polignac number, because 87825045 - 22 = 87825041 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 87824994 and 87825012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87825041) 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, 36865 + ... + 39174.

It is an arithmetic number, because the mean of its divisors is an integer number (5474880).

Almost surely, 287825045 is an apocalyptic number.

It is an amenable number.

87825045 is a deficient number, since it is larger than the sum of its proper divisors (87371115).

87825045 is a wasteful number, since it uses less digits than its factorization.

87825045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76065.

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 87825045 is about 9371.5017473188. The cubic root of 87825045 is about 444.5010525234.

The spelling of 87825045 in words is "eighty-seven million, eight hundred twenty-five thousand, forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 1155 76039 228117 380195 532273 836429 1140585 1596819 2509287 2661365 4182145 5855003 7984095 12546435 17565009 29275015 87825045