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90640592 = 2472115613
BaseRepresentation
bin1010110011100…
…01000011010000
320022120000111222
411121301003100
5141200444332
612554424212
72150301200
oct531610320
9208500458
1090640592
1147189689
1226432068
1315a176b3
14c076400
157e56712
hex56710d0

90640592 has 30 divisors (see below), whose sum is σ = 204289938. Its totient is φ = 38845632.

The previous prime is 90640591. The next prime is 90640597. The reversal of 90640592 is 29504609.

It can be written as a sum of positive squares in only one way, i.e., 89567296 + 1073296 = 9464^2 + 1036^2 .

It is a super-2 number, since 2×906405922 = 16431433836220928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90640591) 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 5 ways as a sum of consecutive naturals, for example, 57023 + ... + 58590.

Almost surely, 290640592 is an apocalyptic number.

It is an amenable number.

90640592 is an abundant number, since it is smaller than the sum of its proper divisors (113649346).

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

90640592 is a wasteful number, since it uses less digits than its factorization.

90640592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115635 (or 115622 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 90640592 is about 9520.5352790691. The cubic root of 90640592 is about 449.2012034687.

The spelling of 90640592 in words is "ninety million, six hundred forty thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 115613 231226 462452 809291 924904 1618582 1849808 3237164 5665037 6474328 11330074 12948656 22660148 45320296 90640592