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2078856 = 2332132221
BaseRepresentation
bin111111011100010001000
310220121122200
413323202020
51013010411
6112320200
723445543
oct7734210
93817580
102078856
11119a96a
12843060
1357a2c0
143c185a
152b0e56
hex1fb888

2078856 has 48 divisors (see below), whose sum is σ = 6066060. Its totient is φ = 639360.

The previous prime is 2078851. The next prime is 2078887. The reversal of 2078856 is 6588702.

2078856 = T24 + T25 + ... + T231.

It can be written as a sum of positive squares in 2 ways, for example, as 2056356 + 22500 = 1434^2 + 150^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2078856.

It is not an unprimeable number, because it can be changed into a prime (2078851) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 175 + ... + 2046.

22078856 is an apocalyptic number.

2078856 is a gapful number since it is divisible by the number (26) 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 2078856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033030).

2078856 is an abundant number, since it is smaller than the sum of its proper divisors (3987204).

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

2078856 is a wasteful number, since it uses less digits than its factorization.

2078856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2078856 is about 1441.8238449963. The cubic root of 2078856 is about 127.6266791697.

The spelling of 2078856 in words is "two million, seventy-eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2221 4442 6663 8884 13326 17768 19989 26652 28873 39978 53304 57746 79956 86619 115492 159912 173238 230984 259857 346476 519714 692952 1039428 2078856