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2042082 = 232719853
BaseRepresentation
bin111110010100011100010
310211202012200
413302203202
51010321312
6111434030
723233410
oct7624342
93752180
102042082
111175279
12825916
13566643
143b22b0
152a50dc
hex1f28e2

2042082 has 48 divisors (see below), whose sum is σ = 5328960. Its totient is φ = 552096.

The previous prime is 2042077. The next prime is 2042083. The reversal of 2042082 is 2802402.

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 (2042083) 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, 1968 + ... + 2820.

It is an arithmetic number, because the mean of its divisors is an integer number (111020).

22042082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664480).

2042082 is an abundant number, since it is smaller than the sum of its proper divisors (3286878).

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

2042082 is a wasteful number, since it uses less digits than its factorization.

2042082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 884 counting only the distinct ones).

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

The square root of 2042082 is about 1429.0143456243. The cubic root of 2042082 is about 126.8696453207.

Adding to 2042082 its reverse (2802402), we get a palindrome (4844484).

It can be divided in two parts, 20420 and 82, that added together give a palindrome (20502).

The spelling of 2042082 in words is "two million, forty-two thousand, eighty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 853 1197 1706 2394 2559 5118 5971 7677 11942 15354 16207 17913 32414 35826 48621 53739 97242 107478 113449 145863 226898 291726 340347 680694 1021041 2042082