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806479680 = 2635840083
BaseRepresentation
bin110000000100011…
…110011101000000
32002012112102010210
4300010132131000
53122424322210
6212005354120
725661651466
oct6004363500
92065472123
10806479680
11384267136
121a6108940
13cb111316
1479174836
154ac06e20
hex3011e740

806479680 has 56 divisors (see below), whose sum is σ = 2560576032. Its totient is φ = 215060992.

The previous prime is 806479679. The next prime is 806479693. The reversal of 806479680 is 86974608.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 419082 + ... + 421001.

It is an arithmetic number, because the mean of its divisors is an integer number (45724572).

Almost surely, 2806479680 is an apocalyptic number.

806479680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

806479680 is an abundant number, since it is smaller than the sum of its proper divisors (1754096352).

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

806479680 is a wasteful number, since it uses less digits than its factorization.

806479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840103 (or 840093 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 806479680 is about 28398.5858802864. The cubic root of 806479680 is about 930.8173644344.

The spelling of 806479680 in words is "eight hundred six million, four hundred seventy-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 840083 1680166 2520249 3360332 4200415 5040498 6720664 8400830 10080996 12601245 13441328 16801660 20161992 25202490 26882656 33603320 40323984 50404980 53765312 67206640 80647968 100809960 134413280 161295936 201619920 268826560 403239840 806479680