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849404040 = 233518139107
BaseRepresentation
bin110010101000001…
…110000010001000
32012012022012021220
4302220032002020
53214421412130
6220141402040
730022546422
oct6250160210
92165265256
10849404040
113a6514911
121b8569320
13106c8cc54
1480b49812
154e885410
hex32a0e088

849404040 has 64 divisors (see below), whose sum is σ = 2562356160. Its totient is φ = 225250560.

The previous prime is 849404033. The next prime is 849404047. The reversal of 849404040 is 40404948.

It is an interprime number because it is at equal distance from previous prime (849404033) and next prime (849404047).

It is a junction number, because it is equal to n+sod(n) for n = 849403992 and 849404010.

It is not an unprimeable number, because it can be changed into a prime (849404047) 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, 2167 + ... + 41273.

It is an arithmetic number, because the mean of its divisors is an integer number (40036815).

Almost surely, 2849404040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 849404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281178080).

849404040 is an abundant number, since it is smaller than the sum of its proper divisors (1712952120).

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

849404040 is a wasteful number, since it uses less digits than its factorization.

849404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39302 (or 39298 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 849404040 is about 29144.5370524220. The cubic root of 849404040 is about 947.0467995517.

Adding to 849404040 its reverse (40404948), we get a palindrome (889808988).

The spelling of 849404040 in words is "eight hundred forty-nine million, four hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 181 362 543 724 905 1086 1448 1810 2172 2715 3620 4344 5430 7240 10860 21720 39107 78214 117321 156428 195535 234642 312856 391070 469284 586605 782140 938568 1173210 1564280 2346420 4692840 7078367 14156734 21235101 28313468 35391835 42470202 56626936 70783670 84940404 106175505 141567340 169880808 212351010 283134680 424702020 849404040