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90506889 = 3411157647
BaseRepresentation
bin1010110010100…
…00011010001001
320022022020010000
411121100122021
5141132210024
612551513213
72146203324
oct531203211
9208266100
1090506889
11470a8190
1226388809
131599b895
14c03d7bb
157e2bcc9
hex5650689

90506889 has 40 divisors (see below), whose sum is σ = 148661568. Its totient is φ = 54419040.

The previous prime is 90506851. The next prime is 90506893. The reversal of 90506889 is 98860509.

It is not a de Polignac number, because 90506889 - 212 = 90502793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90506839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 139564 + ... + 140210.

Almost surely, 290506889 is an apocalyptic number.

90506889 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

90506889 is a deficient number, since it is larger than the sum of its proper divisors (58154679).

90506889 is a wasteful number, since it uses less digits than its factorization.

90506889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 90506889 is about 9513.5108661314. The cubic root of 90506889 is about 448.9802240948.

The spelling of 90506889 in words is "ninety million, five hundred six thousand, eight hundred eighty-nine".

Divisors: 1 3 9 11 27 33 81 99 157 297 471 647 891 1413 1727 1941 4239 5181 5823 7117 12717 15543 17469 21351 46629 52407 64053 101579 139887 192159 304737 576477 914211 1117369 2742633 3352107 8227899 10056321 30168963 90506889