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76483660 = 225111991747
BaseRepresentation
bin1001000111100…
…00110001001100
312022220202212011
410203300301030
5124034434120
611331151004
71616046301
oct443606114
9168822764
1076483660
113a19a340
1221745464
1312acba06
14a22d0a8
156aabc5a
hex48f0c4c

76483660 has 48 divisors (see below), whose sum is σ = 176198400. Its totient is φ = 27656640.

The previous prime is 76483651. The next prime is 76483679. The reversal of 76483660 is 6638467.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 42907 + ... + 44653.

It is an arithmetic number, because the mean of its divisors is an integer number (3670800).

Almost surely, 276483660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76483660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88099200).

76483660 is an abundant number, since it is smaller than the sum of its proper divisors (99714740).

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

76483660 is a wasteful number, since it uses less digits than its factorization.

76483660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 76483660 is about 8745.4936967561. The cubic root of 76483660 is about 424.4790109688.

The spelling of 76483660 in words is "seventy-six million, four hundred eighty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 199 220 398 796 995 1747 1990 2189 3494 3980 4378 6988 8735 8756 10945 17470 19217 21890 34940 38434 43780 76868 96085 192170 347653 384340 695306 1390612 1738265 3476530 3824183 6953060 7648366 15296732 19120915 38241830 76483660