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2082576 = 243431009
BaseRepresentation
bin111111100011100010000
310220210202110
413330130100
51013120301
6112345320
723462436
oct7743420
93823673
102082576
1111a2741
12845240
1357bbc2
143c2d56
152b20d6
hex1fc710

2082576 has 40 divisors (see below), whose sum is σ = 5510560. Its totient is φ = 677376.

The previous prime is 2082569. The next prime is 2082583. The reversal of 2082576 is 6752802.

It is an interprime number because it is at equal distance from previous prime (2082569) and next prime (2082583).

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 7 ways as a sum of consecutive naturals, for example, 1560 + ... + 2568.

It is an arithmetic number, because the mean of its divisors is an integer number (137764).

22082576 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 2082576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755280).

2082576 is an abundant number, since it is smaller than the sum of its proper divisors (3427984).

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

2082576 is a wasteful number, since it uses less digits than its factorization.

2082576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2082576 is about 1443.1133011652. The cubic root of 2082576 is about 127.7027608119.

The spelling of 2082576 in words is "two million, eighty-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1009 1032 2018 2064 3027 4036 6054 8072 12108 16144 24216 43387 48432 86774 130161 173548 260322 347096 520644 694192 1041288 2082576