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4003012002 = 2311792712833
BaseRepresentation
bin1110111010011001…
…0001110110100010
3101022222101002010210
43232212101312202
531144232341002
61501114234550
7201125016633
oct35646216642
911288332123
104003012002
111774661190
12938725a56
134ba437672
1429d8d988a
1518666c96c
hexee991da2

4003012002 has 64 divisors (see below), whose sum is σ = 8880168960. Its totient is φ = 1192838400.

The previous prime is 4003011973. The next prime is 4003012019. The reversal of 4003012002 is 2002103004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1411578 + ... + 1414410.

It is an arithmetic number, because the mean of its divisors is an integer number (138752640).

Almost surely, 24003012002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4003012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440084480).

4003012002 is an abundant number, since it is smaller than the sum of its proper divisors (4877156958).

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

4003012002 is a wasteful number, since it uses less digits than its factorization.

4003012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4003012002 is about 63269.3606890413. The cubic root of 4003012002 is about 1587.7993899306.

Adding to 4003012002 its reverse (2002103004), we get a palindrome (6005115006).

The spelling of 4003012002 in words is "four billion, three million, twelve thousand, two".

Divisors: 1 2 3 6 11 22 33 66 79 158 237 271 474 542 813 869 1626 1738 2607 2833 2981 5214 5666 5962 8499 8943 16998 17886 21409 31163 42818 62326 64227 93489 128454 186978 223807 235499 447614 470998 671421 706497 767743 1342842 1412994 1535486 2303229 2461877 4606458 4923754 7385631 8445173 14771262 16890346 25335519 50671038 60651697 121303394 181955091 363910182 667168667 1334337334 2001506001 4003012002