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2001048 = 233743277
BaseRepresentation
bin111101000100010011000
310202122220220
413220202120
51003013143
6110520040
723002650
oct7504230
93678826
102001048
111147465
12806020
13550a6a
143a1360
15297d83
hex1e8898

2001048 has 64 divisors (see below), whose sum is σ = 5871360. Its totient is φ = 556416.

The previous prime is 2001037. The next prime is 2001049. The reversal of 2001048 is 8401002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7086 + ... + 7362.

It is an arithmetic number, because the mean of its divisors is an integer number (91740).

22001048 is an apocalyptic number.

2001048 is a gapful number since it is divisible by the number (28) 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 2001048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935680).

2001048 is an abundant number, since it is smaller than the sum of its proper divisors (3870312).

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

2001048 is a wasteful number, since it uses less digits than its factorization.

2001048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2001048 is about 1414.5840378005. The cubic root of 2001048 is about 126.0141077678.

The spelling of 2001048 in words is "two million, one thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 277 301 344 516 554 602 831 903 1032 1108 1204 1662 1806 1939 2216 2408 3324 3612 3878 5817 6648 7224 7756 11634 11911 15512 23268 23822 35733 46536 47644 71466 83377 95288 142932 166754 250131 285864 333508 500262 667016 1000524 2001048