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890485281 = 3276292
BaseRepresentation
bin110101000100111…
…011101000100001
32022001121100011100
4311010323220201
53310431012111
6224210105013
731032000000
oct6504735041
92261540140
10890485281
11417723854
1220a27b169
1311264498a
14863a0c37
155329c756
hex3513ba21

890485281 has 63 divisors (see below), whose sum is σ = 1554161011. Its totient is φ = 491302224.

The previous prime is 890485243. The next prime is 890485283. The reversal of 890485281 is 182584098.

It is a happy number.

The square root of 890485281 is 29841.

It is a perfect power (a square), and thus also a powerful number.

890485281 is a `hidden beast` number, since 8 + 90 + 485 + 2 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 466948881 + 423536400 = 21609^2 + 20580^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 890485281 - 27 = 890485153 is a prime.

It is a super-2 number, since 2×8904852812 = 1585928071355297922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (890485283) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 30706375 + ... + 30706403.

Almost surely, 2890485281 is an apocalyptic number.

890485281 is the 29841-st square number.

890485281 is the 14921-st centered octagonal number.

It is an amenable number.

890485281 is a deficient number, since it is larger than the sum of its proper divisors (663675730).

890485281 is an frugal number, since it uses more digits than its factorization.

890485281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The cubic root of 890485281 is about 962.0749682601.

The spelling of 890485281 in words is "eight hundred ninety million, four hundred eighty-five thousand, two hundred eighty-one".

Divisors: 1 3 7 9 21 29 49 63 87 147 203 261 343 441 609 841 1029 1421 1827 2401 2523 3087 4263 5887 7203 7569 9947 12789 16807 17661 21609 29841 41209 50421 52983 69629 89523 117649 123627 151263 208887 288463 352947 370881 487403 626661 865389 1058841 1462209 2019241 2596167 3411821 4386627 6057723 10235463 14134687 18173169 30706389 42404061 98942809 127212183 296828427 890485281