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1799117056 = 281122412
BaseRepresentation
bin110101100111100…
…0101100100000000
311122101100121122001
41223033011210000
512141033221211
6454305153344
762404146142
oct15317054400
94571317561
101799117056
11843611300
1242262b854
13228971209
14130d26c92
15a7e31ac1
hex6b3c5900

1799117056 has 81 divisors (see below), whose sum is σ = 3963806049. Its totient is φ = 814387200.

The previous prime is 1799117041. The next prime is 1799117059. The reversal of 1799117056 is 6507119971.

The square root of 1799117056 is 42416.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1353062656 + 446054400 = 36784^2 + 21120^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1799116997 and 1799117015.

It is not an unprimeable number, because it can be changed into a prime (1799117059) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 7465096 + ... + 7465336.

Almost surely, 21799117056 is an apocalyptic number.

1799117056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1799117056 is the 42416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1799117056

1799117056 is an abundant number, since it is smaller than the sum of its proper divisors (2164688993).

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

1799117056 is an frugal number, since it uses more digits than its factorization.

1799117056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 46.

The cubic root of 1799117056 is about 1216.2414686674.

The spelling of 1799117056 in words is "one billion, seven hundred ninety-nine million, one hundred seventeen thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 241 242 256 352 482 484 704 964 968 1408 1928 1936 2651 2816 3856 3872 5302 7712 7744 10604 15424 15488 21208 29161 30848 30976 42416 58081 58322 61696 84832 116162 116644 169664 232324 233288 339328 464648 466576 638891 678656 929296 933152 1277782 1858592 1866304 2555564 3717184 3732608 5111128 7027801 7434368 7465216 10222256 14055602 14868736 20444512 28111204 40889024 56222408 81778048 112444816 163556096 224889632 449779264 899558528 1799117056