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2081872 = 241310009
BaseRepresentation
bin111111100010001010000
310220202210101
413330101100
51013104442
6112342144
723460412
oct7742120
93822711
102081872
1111a2161
12844954
1357b7a0
143c29b2
152b1cb7
hex1fc450

2081872 has 20 divisors (see below), whose sum is σ = 4344340. Its totient is φ = 960768.

The previous prime is 2081861. The next prime is 2081873. The reversal of 2081872 is 2781802.

It can be written as a sum of positive squares in 2 ways, for example, as 1382976 + 698896 = 1176^2 + 836^2 .

2081872 is a modest number, since divided by 1872 gives 208 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 2081872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081873) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4797 + ... + 5212.

It is an arithmetic number, because the mean of its divisors is an integer number (217217).

22081872 is an apocalyptic number.

It is an amenable number.

2081872 is an abundant number, since it is smaller than the sum of its proper divisors (2262468).

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

2081872 is a wasteful number, since it uses less digits than its factorization.

2081872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10030 (or 10024 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 2081872 is about 1442.8693634560. The cubic root of 2081872 is about 127.6883695202.

It can be divided in two parts, 208 and 1872, that multiplied together give a square (389376 = 6242).

The spelling of 2081872 in words is "two million, eighty-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 10009 20018 40036 80072 130117 160144 260234 520468 1040936 2081872