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797986048 = 2828111093
BaseRepresentation
bin101111100100000…
…100110100000000
32001121112220001211
4233210010310000
53113241023143
6211103335504
725526524636
oct5744046400
92047486054
10797986048
1137a495802
121a32b1594
13c94292c2
1477da3356
154a0ca49d
hex2f904d00

797986048 has 36 divisors (see below), whose sum is σ = 1598667588. Its totient is φ = 397537280.

The previous prime is 797986043. The next prime is 797986061. The reversal of 797986048 is 840689797.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 605553664 + 192432384 = 24608^2 + 13872^2 .

It is a junction number, because it is equal to n+sod(n) for n = 797985983 and 797986001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797986043) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 66390 + ... + 77482.

It is an arithmetic number, because the mean of its divisors is an integer number (44407433).

Almost surely, 2797986048 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 797986048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799333794).

797986048 is an abundant number, since it is smaller than the sum of its proper divisors (800681540).

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

797986048 is a wasteful number, since it uses less digits than its factorization.

797986048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11390 (or 11376 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 58.

The square root of 797986048 is about 28248.6468348486. The cubic root of 797986048 is about 927.5381173564.

The spelling of 797986048 in words is "seven hundred ninety-seven million, nine hundred eighty-six thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 281 562 1124 2248 4496 8992 11093 17984 22186 35968 44372 71936 88744 177488 354976 709952 1419904 2839808 3117133 6234266 12468532 24937064 49874128 99748256 199496512 398993024 797986048