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1882083042 = 232724314951
BaseRepresentation
bin111000000101110…
…0100111011100010
311212011110201120100
41300023210323202
512323303124132
6510431323230
764432304400
oct16013447342
94764421510
101882083042
11886428934
12446380516
1323cbcc608
1413bd62470
15b036e37c
hex702e4ee2

1882083042 has 72 divisors (see below), whose sum is σ = 4755583872. Its totient is φ = 536382000.

The previous prime is 1882083041. The next prime is 1882083061. The reversal of 1882083042 is 2403802881.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1882082988 and 1882083006.

It is not an unprimeable number, because it can be changed into a prime (1882083041) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 377667 + ... + 382617.

It is an arithmetic number, because the mean of its divisors is an integer number (66049776).

Almost surely, 21882083042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1882083042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377791936).

1882083042 is an abundant number, since it is smaller than the sum of its proper divisors (2873500830).

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

1882083042 is a wasteful number, since it uses less digits than its factorization.

1882083042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5404 (or 5394 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1882083042 is about 43382.9810179061. The cubic root of 1882083042 is about 1234.6568223703.

The spelling of 1882083042 in words is "one billion, eight hundred eighty-two million, eighty-three thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 431 441 862 882 1293 2586 3017 3879 4951 6034 7758 9051 9902 14853 18102 21119 27153 29706 34657 42238 44559 54306 63357 69314 89118 103971 126714 190071 207942 242599 311913 380142 485198 623826 727797 1455594 2133881 2183391 4267762 4366782 6401643 12803286 14937167 19204929 29874334 38409858 44811501 89623002 104560169 134434503 209120338 268869006 313680507 627361014 941041521 1882083042