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90811433 = 17411131153
BaseRepresentation
bin1010110100110…
…10110000101001
320022212200212102
411122122300221
5141221431213
613002223145
72151612236
oct532326051
9208780772
1090811433
1147295a79
12264b4ab5
1315a7739b
14c0bc78d
157e8c158
hex569ac29

90811433 has 16 divisors (see below), whose sum is σ = 99456336. Its totient is φ = 82575360.

The previous prime is 90811421. The next prime is 90811439. The reversal of 90811433 is 33411809.

It can be written as a sum of positive squares in 8 ways, for example, as 8219689 + 82591744 = 2867^2 + 9088^2 .

It is a cyclic number.

It is not a de Polignac number, because 90811433 - 220 = 89762857 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 90811396 and 90811405.

It is not an unprimeable number, because it can be changed into a prime (90811439) 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 15 ways as a sum of consecutive naturals, for example, 78185 + ... + 79337.

It is an arithmetic number, because the mean of its divisors is an integer number (6216021).

Almost surely, 290811433 is an apocalyptic number.

It is an amenable number.

90811433 is a deficient number, since it is larger than the sum of its proper divisors (8644903).

90811433 is a wasteful number, since it uses less digits than its factorization.

90811433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 90811433 is about 9529.5032924072. The cubic root of 90811433 is about 449.4832471486.

The spelling of 90811433 in words is "ninety million, eight hundred eleven thousand, four hundred thirty-three".

Divisors: 1 17 41 113 697 1153 1921 4633 19601 47273 78761 130289 803641 2214913 5341849 90811433