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849649840 = 24513816971
BaseRepresentation
bin110010101001001…
…010000010110000
32012012202200110121
4302221022002300
53220002243330
6220150540024
730024622144
oct6251120260
92165680417
10849649840
113a6672556
121b8667614
13107047ab0
1480bb1224
154e8d317a
hex32a4a0b0

849649840 has 40 divisors (see below), whose sum is σ = 2127395088. Its totient is φ = 313716480.

The previous prime is 849649799. The next prime is 849649873. The reversal of 849649840 is 48946948.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×8496498402 = 1443809701224051200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 407446 + ... + 409525.

Almost surely, 2849649840 is an apocalyptic number.

849649840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

849649840 is an abundant number, since it is smaller than the sum of its proper divisors (1277745248).

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

849649840 is a wasteful number, since it uses less digits than its factorization.

849649840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816997 (or 816991 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The square root of 849649840 is about 29148.7536611774. The cubic root of 849649840 is about 947.1381426745.

The spelling of 849649840 in words is "eight hundred forty-nine million, six hundred forty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 816971 1633942 3267884 4084855 6535768 8169710 10620623 13071536 16339420 21241246 32678840 42482492 53103115 65357680 84964984 106206230 169929968 212412460 424824920 849649840