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90905919 = 31317314423
BaseRepresentation
bin1010110101100…
…01110100111111
320100001111110220
411122301310333
5141232442134
613004232423
72152454556
oct532616477
9210044426
1090905919
114734aa65
122653b713
1315aab3b0
14c104d9d
157eaa149
hex56b1d3f

90905919 has 32 divisors (see below), whose sum is σ = 142700544. Its totient is φ = 50941440.

The previous prime is 90905917. The next prime is 90905933. The reversal of 90905919 is 91950909.

It is not a de Polignac number, because 90905919 - 21 = 90905917 is a prime.

It is a super-2 number, since 2×909059192 = 16527772218469122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90905917) 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 31 ways as a sum of consecutive naturals, for example, 18342 + ... + 22764.

It is an arithmetic number, because the mean of its divisors is an integer number (4459392).

Almost surely, 290905919 is an apocalyptic number.

90905919 is a deficient number, since it is larger than the sum of its proper divisors (51794625).

90905919 is a wasteful number, since it uses less digits than its factorization.

90905919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487.

The product of its (nonzero) digits is 32805, while the sum is 42.

The square root of 90905919 is about 9534.4595546890. The cubic root of 90905919 is about 449.6390834485.

The spelling of 90905919 in words is "ninety million, nine hundred five thousand, nine hundred nineteen".

Divisors: 1 3 13 17 31 39 51 93 221 403 527 663 1209 1581 4423 6851 13269 20553 57499 75191 137113 172497 225573 411339 977483 1782469 2330921 2932449 5347407 6992763 30301973 90905919