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90006471 = 35587631
BaseRepresentation
bin1010101110101…
…10001111000111
320021100210200000
411113112033013
5141020201341
612533052343
72142020352
oct527261707
9207323600
1090006471
1146896215
12261870b3
1315854b89
14bd4d299
157d7d8b6
hex55d63c7

90006471 has 24 divisors (see below), whose sum is σ = 135268224. Its totient is φ = 59807160.

The previous prime is 90006461. The next prime is 90006479. The reversal of 90006471 is 17460009.

It is not a de Polignac number, because 90006471 - 26 = 90006407 is a prime.

It is a super-3 number, since 3×900064713 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90006479) 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, 142326 + ... + 142956.

It is an arithmetic number, because the mean of its divisors is an integer number (5636176).

Almost surely, 290006471 is an apocalyptic number.

90006471 is a deficient number, since it is larger than the sum of its proper divisors (45261753).

90006471 is an equidigital number, since it uses as much as digits as its factorization.

90006471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 90006471 is about 9487.1740260206. The cubic root of 90006471 is about 448.1512148317.

The spelling of 90006471 in words is "ninety million, six thousand, four hundred seventy-one".

Divisors: 1 3 9 27 81 243 587 631 1761 1893 5283 5679 15849 17037 47547 51111 142641 153333 370397 1111191 3333573 10000719 30002157 90006471