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2003897742 = 237117359417
BaseRepresentation
bin111011101110001…
…0000110110001110
312011122200112220220
41313130100312032
513100444211432
6530502252210
7100441564320
oct16734206616
95148615826
102003897742
1193916a040
1247b127066
1325c210512
141501d1610
15badd272c
hex77710d8e

2003897742 has 64 divisors (see below), whose sum is σ = 5065265664. Its totient is φ = 513354240.

The previous prime is 2003897737. The next prime is 2003897743. The reversal of 2003897742 is 2477983002.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2003897694 and 2003897703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003897743) by changing a digit.

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, 4018 + ... + 63434.

It is an arithmetic number, because the mean of its divisors is an integer number (79144776).

Almost surely, 22003897742 is an apocalyptic number.

2003897742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003897742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532632832).

2003897742 is an abundant number, since it is smaller than the sum of its proper divisors (3061367922).

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

2003897742 is a wasteful number, since it uses less digits than its factorization.

2003897742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59513.

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 2003897742 is about 44764.9164189994. The cubic root of 2003897742 is about 1260.7389933015.

The spelling of 2003897742 in words is "two billion, three million, eight hundred ninety-seven thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 73 77 146 154 219 231 438 462 511 803 1022 1533 1606 2409 3066 4818 5621 11242 16863 33726 59417 118834 178251 356502 415919 653587 831838 1247757 1307174 1960761 2495514 3921522 4337441 4575109 8674882 9150218 13012323 13725327 26024646 27450654 30362087 47711851 60724174 91086261 95423702 143135553 182172522 286271106 333982957 667965914 1001948871 2003897742