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2027808 = 25332347
BaseRepresentation
bin111101111000100100000
310211000122000
413233010200
51004342213
6111244000
723143656
oct7570440
93730560
102027808
111165582
12819600
1355ccb3
143aadd6
152a0c73
hex1ef120

2027808 has 48 divisors (see below), whose sum is σ = 5916960. Its totient is φ = 675648.

The previous prime is 2027807. The next prime is 2027821. The reversal of 2027808 is 8087202.

2027808 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×20278082 = 8224010569728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2027801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 310 + ... + 2037.

It is an arithmetic number, because the mean of its divisors is an integer number (123270).

22027808 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 2027808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958480).

2027808 is an abundant number, since it is smaller than the sum of its proper divisors (3889152).

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

2027808 is a wasteful number, since it uses less digits than its factorization.

2027808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2027808 is about 1424.0112359107. The cubic root of 2027808 is about 126.5733507844.

The spelling of 2027808 in words is "two million, twenty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2347 4694 7041 9388 14082 18776 21123 28164 37552 42246 56328 63369 75104 84492 112656 126738 168984 225312 253476 337968 506952 675936 1013904 2027808