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90138577 = 893073299
BaseRepresentation
bin1010101111101…
…10011111010001
320021121111212211
411113312133101
5141033413302
612535552121
72143110454
oct527663721
9207544784
1090138577
11469764a1
122622b641
13158a0049
14bd8549b
157da7ad7
hex55f67d1

90138577 has 8 divisors (see below), whose sum is σ = 91476000. Its totient is φ = 88808544.

The previous prime is 90138557. The next prime is 90138599. The reversal of 90138577 is 77583109.

90138577 is nontrivially palindromic in base 15.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-90138577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90138557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25674 + ... + 28972.

It is an arithmetic number, because the mean of its divisors is an integer number (11434500).

Almost surely, 290138577 is an apocalyptic number.

It is an amenable number.

90138577 is a deficient number, since it is larger than the sum of its proper divisors (1337423).

90138577 is a wasteful number, since it uses less digits than its factorization.

90138577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3695.

The product of its (nonzero) digits is 52920, while the sum is 40.

The square root of 90138577 is about 9494.1338204177. The cubic root of 90138577 is about 448.3703639745.

The spelling of 90138577 in words is "ninety million, one hundred thirty-eight thousand, five hundred seventy-seven".

Divisors: 1 89 307 3299 27323 293611 1012793 90138577