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2006442 = 232177983
BaseRepresentation
bin111101001110110101010
310202221022200
413221312222
51003201232
6111001030
723024454
oct7516652
93687280
102006442
111150519
12809176
13553359
143a32d4
1529977c
hex1e9daa

2006442 has 48 divisors (see below), whose sum is σ = 4717440. Its totient is φ = 614016.

The previous prime is 2006441. The next prime is 2006443. The reversal of 2006442 is 2446002.

2006442 is a `hidden beast` number, since 20 + 0 + 644 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2006441) and next prime (2006443).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2006441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 24133 + ... + 24215.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

22006442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358720).

2006442 is an abundant number, since it is smaller than the sum of its proper divisors (2710998).

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

2006442 is a wasteful number, since it uses less digits than its factorization.

2006442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2006442 is about 1416.4893222330. The cubic root of 2006442 is about 126.1272335335.

The spelling of 2006442 in words is "two million, six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 79 83 102 153 158 166 237 249 306 474 498 711 747 1343 1411 1422 1494 2686 2822 4029 4233 6557 8058 8466 12087 12699 13114 19671 24174 25398 39342 59013 111469 118026 222938 334407 668814 1003221 2006442