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990893569 = 17257337673
BaseRepresentation
bin111011000011111…
…101011000000001
32120001112121102211
4323003331120001
54012132043234
6242154142121
733361312351
oct7303753001
92501477384
10990893569
11469374006
12237a21941
1312a39c273
149585ab61
155bed3164
hex3b0fd601

990893569 has 16 divisors (see below), whose sum is σ = 1057958928. Its totient is φ = 924844032.

The previous prime is 990893557. The next prime is 990893597. The reversal of 990893569 is 965398099.

990893569 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 70560000 + 920333569 = 8400^2 + 30337^2 .

It is a 3-Lehmer number, since φ(990893569) divides (990893569-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 990893569 - 27 = 990893441 is a prime.

It is a super-2 number, since 2×9908935692 = 1963740130171115522, which contains 22 as substring.

It is a deceptive number, since it divides R990893568.

It is not an unprimeable number, because it can be changed into a prime (990893539) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1472017 + ... + 1472689.

It is an arithmetic number, because the mean of its divisors is an integer number (66122433).

It is a Poulet number, since it divides 2990893568-1.

Almost surely, 2990893569 is an apocalyptic number.

It is an amenable number.

990893569 is a deficient number, since it is larger than the sum of its proper divisors (67065359).

990893569 is a wasteful number, since it uses less digits than its factorization.

990893569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284.

The product of its (nonzero) digits is 4723920, while the sum is 58.

The square root of 990893569 is about 31478.4619859357. The cubic root of 990893569 is about 996.9552619791.

The spelling of 990893569 in words is "nine hundred ninety million, eight hundred ninety-three thousand, five hundred sixty-nine".

Divisors: 1 17 257 337 673 4369 5729 11441 86609 172961 226801 1472353 2940337 3855617 58287857 990893569