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890208936 = 233225748109
BaseRepresentation
bin110101000011111…
…000001010101000
32022001002022002100
4311003320022220
53310343141221
6224200133400
731026436221
oct6503701250
92261068070
10890208936
11417555171
1220a167260
13112578c66
148632c248
1553245926
hex350f82a8

890208936 has 48 divisors (see below), whose sum is σ = 2420414100. Its totient is φ = 295575552.

The previous prime is 890208923. The next prime is 890208941. The reversal of 890208936 is 639802098.

It can be written as a sum of positive squares in 2 ways, for example, as 780084900 + 110124036 = 27930^2 + 10494^2 .

It is a junction number, because it is equal to n+sod(n) for n = 890208891 and 890208900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5551 + ... + 42558.

Almost surely, 2890208936 is an apocalyptic number.

It is an amenable number.

890208936 is an abundant number, since it is smaller than the sum of its proper divisors (1530205164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

890208936 is a wasteful number, since it uses less digits than its factorization.

890208936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48378 (or 48371 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 890208936 is about 29836.3693501740. The cubic root of 890208936 is about 961.9754374689.

The spelling of 890208936 in words is "eight hundred ninety million, two hundred eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 257 514 771 1028 1542 2056 2313 3084 4626 6168 9252 18504 48109 96218 144327 192436 288654 384872 432981 577308 865962 1154616 1731924 3463848 12364013 24728026 37092039 49456052 74184078 98912104 111276117 148368156 222552234 296736312 445104468 890208936