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1998465056 = 25717230871
BaseRepresentation
bin111011100011110…
…0010100000100000
312011021110112200022
41313013202200200
513043101340211
6530150013012
7100344446510
oct16707424040
95137415608
101998465056
11936099415
12479347168
1325b05a803
1414d5b9840
15ba6acbdb
hex771e2820

1998465056 has 72 divisors (see below), whose sum is σ = 4776762816. Its totient is φ = 806077440.

The previous prime is 1998465043. The next prime is 1998465059. The reversal of 1998465056 is 6505648991.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1998464989 and 1998465007.

It is not an unprimeable number, because it can be changed into a prime (1998465059) 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 11 ways as a sum of consecutive naturals, for example, 49301 + ... + 80171.

It is an arithmetic number, because the mean of its divisors is an integer number (66343928).

Almost surely, 21998465056 is an apocalyptic number.

1998465056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1998465056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388381408).

1998465056 is an abundant number, since it is smaller than the sum of its proper divisors (2778297760).

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

1998465056 is a wasteful number, since it uses less digits than its factorization.

1998465056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30922 (or 30897 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 53.

The square root of 1998465056 is about 44704.1950604191. The cubic root of 1998465056 is about 1259.5986493603.

The spelling of 1998465056 in words is "one billion, nine hundred ninety-eight million, four hundred sixty-five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 289 476 544 578 952 1156 1904 2023 2312 3808 4046 4624 8092 9248 16184 30871 32368 61742 64736 123484 216097 246968 432194 493936 524807 864388 987872 1049614 1728776 2099228 3457552 3673649 4198456 6915104 7347298 8396912 8921719 14694596 16793824 17843438 29389192 35686876 58778384 62452033 71373752 117556768 124904066 142747504 249808132 285495008 499616264 999232528 1998465056