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90845055 = 32572312539
BaseRepresentation
bin1010110101000…
…10111101111111
320022221101222200
411122202331333
5141224020210
613003042543
72152112250
oct532427577
9208841880
1090845055
1147309264
1226510453
1315a89792
14c0cab27
157e970c0
hex56a2f7f

90845055 has 48 divisors (see below), whose sum is σ = 187799040. Its totient is φ = 39720384.

The previous prime is 90845047. The next prime is 90845087. The reversal of 90845055 is 55054809.

It is a happy number.

It is not a de Polignac number, because 90845055 - 23 = 90845047 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 976 + ... + 13514.

It is an arithmetic number, because the mean of its divisors is an integer number (3912480).

Almost surely, 290845055 is an apocalyptic number.

90845055 is an abundant number, since it is smaller than the sum of its proper divisors (96953985).

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

90845055 is a wasteful number, since it uses less digits than its factorization.

90845055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12580 (or 12577 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 90845055 is about 9531.2672294926. The cubic root of 90845055 is about 449.5387124886.

The spelling of 90845055 in words is "ninety million, eight hundred forty-five thousand, fifty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 483 805 1035 1449 2415 7245 12539 37617 62695 87773 112851 188085 263319 288397 438865 564255 789957 865191 1316595 1441985 2018779 2595573 3949785 4325955 6056337 10093895 12977865 18169011 30281685 90845055