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90417627 = 35834483
BaseRepresentation
bin1010110001110…
…10100111011011
320022010200200000
411120322213123
5141121331002
612545544043
72145352146
oct530724733
9208120600
1090417627
1147047113
1226345023
131596a071
14c01905d
157e1061c
hex563a9db

90417627 has 24 divisors (see below), whose sum is σ = 137102784. Its totient is φ = 59538888.

The previous prime is 90417619. The next prime is 90417683. The reversal of 90417627 is 72671409.

It is a happy number.

It is not a de Polignac number, because 90417627 - 23 = 90417619 is a prime.

It is a super-2 number, since 2×904176272 = 16350694544622258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90417591 and 90417600.

It is not an unprimeable number, because it can be changed into a prime (90417617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17928 + ... + 22410.

It is an arithmetic number, because the mean of its divisors is an integer number (5712616).

Almost surely, 290417627 is an apocalyptic number.

90417627 is a deficient number, since it is larger than the sum of its proper divisors (46685157).

90417627 is an equidigital number, since it uses as much as digits as its factorization.

90417627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4581 (or 4569 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 90417627 is about 9508.8183808505. The cubic root of 90417627 is about 448.8325739891.

The spelling of 90417627 in words is "ninety million, four hundred seventeen thousand, six hundred twenty-seven".

Divisors: 1 3 9 27 81 83 243 249 747 2241 4483 6723 13449 20169 40347 121041 363123 372089 1089369 1116267 3348801 10046403 30139209 90417627