Search a number
-
+
198877696 = 291773313
BaseRepresentation
bin10111101101010…
…10001000000000
3111212020000220121
423312222020000
5401403041241
631422350024
74633301233
oct1366521000
9455200817
10198877696
11a2296836
125672b314
1332283514
141c5ad41a
15126d6ad1
hexbdaa200

198877696 has 80 divisors (see below), whose sum is σ = 427867704. Its totient is φ = 92012544.

The previous prime is 198877691. The next prime is 198877697. The reversal of 198877696 is 696778891.

198877696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 142086400 + 56791296 = 11920^2 + 7536^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198877691) 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 7 ways as a sum of consecutive naturals, for example, 635236 + ... + 635548.

Almost surely, 2198877696 is an apocalyptic number.

198877696 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 198877696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213933852).

198877696 is an abundant number, since it is smaller than the sum of its proper divisors (228990008).

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

198877696 is an equidigital number, since it uses as much as digits as its factorization.

198877696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 405 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 61.

The square root of 198877696 is about 14102.4003630588. The cubic root of 198877696 is about 583.7076161975.

The spelling of 198877696 in words is "one hundred ninety-eight million, eight hundred seventy-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 73 128 136 146 256 272 292 313 512 544 584 626 1088 1168 1241 1252 2176 2336 2482 2504 4352 4672 4964 5008 5321 8704 9344 9928 10016 10642 18688 19856 20032 21284 22849 37376 39712 40064 42568 45698 79424 80128 85136 91396 158848 160256 170272 182792 317696 340544 365584 388433 635392 681088 731168 776866 1362176 1462336 1553732 2724352 2924672 3107464 5849344 6214928 11698688 12429856 24859712 49719424 99438848 198877696