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245606656 = 283492749
BaseRepresentation
bin11101010001110…
…10100100000000
3122010011002222211
432220322210000
51000333403111
640212111504
76041423251
oct1650724400
9563132884
10245606656
11116702a09
126a305594
133bb64aa9
1424894b28
1516867521
hexea3a900

245606656 has 36 divisors (see below), whose sum is σ = 491837500. Its totient is φ = 122406912.

The previous prime is 245606651. The next prime is 245606659. The reversal of 245606656 is 656606542.

It can be written as a sum of positive squares in 2 ways, for example, as 99680256 + 145926400 = 9984^2 + 12080^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (245606651) 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, 87970 + ... + 90718.

Almost surely, 2245606656 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 245606656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245918750).

245606656 is an abundant number, since it is smaller than the sum of its proper divisors (246230844).

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

245606656 is an equidigital number, since it uses as much as digits as its factorization.

245606656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The square root of 245606656 is about 15671.8427761384. The cubic root of 245606656 is about 626.2485173862.

The spelling of 245606656 in words is "two hundred forty-five million, six hundred six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 349 698 1396 2749 2792 5498 5584 10996 11168 21992 22336 43984 44672 87968 89344 175936 351872 703744 959401 1918802 3837604 7675208 15350416 30700832 61401664 122803328 245606656