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90882737 = 1127310289
BaseRepresentation
bin1010110101011…
…00001010110001
320100000022200022
411122230022301
5141231221422
613003533225
72152330151
oct532541261
9210008608
1090882737
1147334600
122652a215
1315aa098a
14c0da761
157ea3342
hex56ac2b1

90882737 has 12 divisors (see below), whose sum is σ = 101274180. Its totient is φ = 81480960.

The previous prime is 90882713. The next prime is 90882739. The reversal of 90882737 is 73728809.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 67881121 + 23001616 = 8239^2 + 4796^2 .

It is not a de Polignac number, because 90882737 - 216 = 90817201 is a prime.

It is a super-2 number, since 2×908827372 = 16519343769222338, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90882739) 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 11 ways as a sum of consecutive naturals, for example, 3689 + ... + 13977.

It is an arithmetic number, because the mean of its divisors is an integer number (8439515).

Almost surely, 290882737 is an apocalyptic number.

It is an amenable number.

90882737 is a deficient number, since it is larger than the sum of its proper divisors (10391443).

90882737 is a wasteful number, since it uses less digits than its factorization.

90882737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10384 (or 10373 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The square root of 90882737 is about 9533.2437816307. The cubic root of 90882737 is about 449.6008592437.

It can be divided in two parts, 90882 and 737, that added together give a palindrome (91619).

The spelling of 90882737 in words is "ninety million, eight hundred eighty-two thousand, seven hundred thirty-seven".

Divisors: 1 11 73 121 803 8833 10289 113179 751097 1244969 8262067 90882737