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2008242 = 232315961
BaseRepresentation
bin111101010010010110010
310210000210100
413222102302
51003230432
6111013230
723032635
oct7522262
93700710
102008242
111151905
1280a216
13554112
143a3c1c
1529a07c
hex1ea4b2

2008242 has 48 divisors (see below), whose sum is σ = 4642560. Its totient is φ = 626400.

The previous prime is 2008241. The next prime is 2008247. The reversal of 2008242 is 2428002.

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 (2008241) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 32892 + ... + 32952.

It is an arithmetic number, because the mean of its divisors is an integer number (96720).

22008242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2008242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321280).

2008242 is an abundant number, since it is smaller than the sum of its proper divisors (2634318).

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

2008242 is a wasteful number, since it uses less digits than its factorization.

2008242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2008242 is about 1417.1245534532. The cubic root of 2008242 is about 126.1649389451.

The spelling of 2008242 in words is "two million, eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 31 59 61 62 93 118 122 177 183 186 279 354 366 531 549 558 1062 1098 1829 1891 3599 3658 3782 5487 5673 7198 10797 10974 11346 16461 17019 21594 32391 32922 34038 64782 111569 223138 334707 669414 1004121 2008242