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1882668192 = 25331220407
BaseRepresentation
bin111000000110111…
…0011110010100000
311212012120110020120
41300031303302200
512323430340232
6510452040240
764440262356
oct16015636240
94765513216
101882668192
11886798529
12446603080
13240075a62
1413c0757d6
15b043792c
hex70373ca0

1882668192 has 72 divisors (see below), whose sum is σ = 5106816288. Its totient is φ = 607282560.

The previous prime is 1882668191. The next prime is 1882668199. The reversal of 1882668192 is 2918662881.

It is not an unprimeable number, because it can be changed into a prime (1882668191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82053 + ... + 102459.

It is an arithmetic number, because the mean of its divisors is an integer number (70928004).

Almost surely, 21882668192 is an apocalyptic number.

1882668192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1882668192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553408144).

1882668192 is an abundant number, since it is smaller than the sum of its proper divisors (3224148096).

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

1882668192 is a wasteful number, since it uses less digits than its factorization.

1882668192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20482 (or 20443 counting only the distinct ones).

The product of its digits is 663552, while the sum is 51.

The square root of 1882668192 is about 43389.7244978578. The cubic root of 1882668192 is about 1234.7847629844.

The spelling of 1882668192 in words is "one billion, eight hundred eighty-two million, six hundred sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 961 992 1488 1922 2883 2976 3844 5766 7688 11532 15376 20407 23064 30752 40814 46128 61221 81628 92256 122442 163256 244884 326512 489768 632617 653024 979536 1265234 1897851 1959072 2530468 3795702 5060936 7591404 10121872 15182808 19611127 20243744 30365616 39222254 58833381 60731232 78444508 117666762 156889016 235333524 313778032 470667048 627556064 941334096 1882668192