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2011048 = 231361317
BaseRepresentation
bin111101010111110101000
310210011122021
413222332220
51003323143
6111034224
723044054
oct7527650
93704567
102011048
111153a26
1280b974
13555490
143a4c64
1529aced
hex1eafa8

2011048 has 32 divisors (see below), whose sum is σ = 4140360. Its totient is φ = 910080.

The previous prime is 2011033. The next prime is 2011057. The reversal of 2011048 is 8401102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 315844 + 1695204 = 562^2 + 1302^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6186 + ... + 6502.

22011048 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 2011048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070180).

2011048 is an abundant number, since it is smaller than the sum of its proper divisors (2129312).

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

2011048 is a wasteful number, since it uses less digits than its factorization.

2011048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2011048 is about 1418.1142408142. The cubic root of 2011048 is about 126.2236725810.

The spelling of 2011048 in words is "two million, eleven thousand, forty-eight".

Divisors: 1 2 4 8 13 26 52 61 104 122 244 317 488 634 793 1268 1586 2536 3172 4121 6344 8242 16484 19337 32968 38674 77348 154696 251381 502762 1005524 2011048