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840475944 = 23327111979101
BaseRepresentation
bin110010000110001…
…010010100101000
32011120111121020200
4302012022110220
53210130212234
6215222152200
726553633120
oct6206122450
92146447220
10840475944
113a1477020
121b5582660
13105185259
147d8a3c80
154dbbed99
hex3218a528

840475944 has 384 divisors, whose sum is σ = 3055104000. Its totient is φ = 202176000.

The previous prime is 840475927. The next prime is 840475973. The reversal of 840475944 is 449574048.

It is a super-2 number, since 2×8404759442 = 1412799624885382272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 840475944.

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 95 ways as a sum of consecutive naturals, for example, 8321494 + ... + 8321594.

It is an arithmetic number, because the mean of its divisors is an integer number (7956000).

Almost surely, 2840475944 is an apocalyptic number.

840475944 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840475944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527552000).

840475944 is an abundant number, since it is smaller than the sum of its proper divisors (2214628056).

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

840475944 is a wasteful number, since it uses less digits than its factorization.

840475944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 840475944 is about 28990.9631437108. The cubic root of 840475944 is about 943.7169654446.

It can be divided in two parts, 8404 and 75944, that added together give a palindrome (84348).

The spelling of 840475944 in words is "eight hundred forty million, four hundred seventy-five thousand, nine hundred forty-four".