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1966048 = 25767131
BaseRepresentation
bin111011111111111100000
310200212220121
413133333200
51000403143
6110050024
722465630
oct7377740
93625817
101966048
111123137
127a9914
1353ab56
143926c0
1528c7ed
hex1dffe0

1966048 has 48 divisors (see below), whose sum is σ = 4523904. Its totient is φ = 823680.

The previous prime is 1966043. The next prime is 1966049. The reversal of 1966048 is 8406691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1966043) 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, 14943 + ... + 15073.

It is an arithmetic number, because the mean of its divisors is an integer number (94248).

21966048 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 1966048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261952).

1966048 is an abundant number, since it is smaller than the sum of its proper divisors (2557856).

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

1966048 is a wasteful number, since it uses less digits than its factorization.

1966048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 1966048 is about 1402.1583362802. The cubic root of 1966048 is about 125.2750848492.

The spelling of 1966048 in words is "one million, nine hundred sixty-six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 67 112 131 134 224 262 268 469 524 536 917 938 1048 1072 1834 1876 2096 2144 3668 3752 4192 7336 7504 8777 14672 15008 17554 29344 35108 61439 70216 122878 140432 245756 280864 491512 983024 1966048