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806742976 = 26131795417
BaseRepresentation
bin110000000101011…
…110101111000000
32002020000210022111
4300011132233000
53123011233401
6212015145104
725664126224
oct6005365700
92066023274
10806742976
11384426a36
121a6215194
13cb1a4110
1479202784
154ac59e51
hex3015ebc0

806742976 has 56 divisors (see below), whose sum is σ = 1733976720. Its totient is φ = 370194432.

The previous prime is 806742947. The next prime is 806742997. The reversal of 806742976 is 679247608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146220 + ... + 151636.

It is an arithmetic number, because the mean of its divisors is an integer number (30963870).

Almost surely, 2806742976 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 806742976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866988360).

806742976 is an abundant number, since it is smaller than the sum of its proper divisors (927233744).

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

806742976 is a wasteful number, since it uses less digits than its factorization.

806742976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5621 (or 5611 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

The square root of 806742976 is about 28403.2212257694. The cubic root of 806742976 is about 930.9186498227.

The spelling of 806742976 in words is "eight hundred six million, seven hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 179 208 358 416 716 832 1432 2327 2864 4654 5417 5728 9308 10834 11456 18616 21668 37232 43336 70421 74464 86672 140842 148928 173344 281684 346688 563368 969643 1126736 1939286 2253472 3878572 4506944 7757144 12605359 15514288 25210718 31028576 50421436 62057152 100842872 201685744 403371488 806742976