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198489824 = 25132172127
BaseRepresentation
bin10111101010010…
…11011011100000
3111211111022211222
423311023123200
5401303133244
631410154212
74630064351
oct1365133340
9454438758
10198489824
11a2051385
1256582968
1332178b00
141c50bd28
151265bbee
hexbd4b6e0

198489824 has 108 divisors (see below), whose sum is σ = 453043584. Its totient is φ = 85542912.

The previous prime is 198489821. The next prime is 198489853. The reversal of 198489824 is 428984891.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198489821) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1562849 + ... + 1562975.

It is an arithmetic number, because the mean of its divisors is an integer number (4194848).

Almost surely, 2198489824 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 198489824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226521792).

198489824 is an abundant number, since it is smaller than the sum of its proper divisors (254553760).

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

198489824 is a wasteful number, since it uses less digits than its factorization.

198489824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 159 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 53.

The square root of 198489824 is about 14088.6416662502. The cubic root of 198489824 is about 583.3279001036.

The spelling of 198489824 in words is "one hundred ninety-eight million, four hundred eighty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 127 136 169 208 221 254 272 289 338 416 442 508 544 578 676 884 1016 1156 1352 1651 1768 2032 2159 2312 2704 2873 3302 3536 3757 4064 4318 4624 5408 5746 6604 7072 7514 8636 9248 11492 13208 15028 17272 21463 22984 26416 28067 30056 34544 36703 42926 45968 48841 52832 56134 60112 69088 73406 85852 91936 97682 112268 120224 146812 171704 195364 224536 293624 343408 364871 390728 449072 477139 587248 686816 729742 781456 898144 954278 1174496 1459484 1562912 1908556 2918968 3817112 5837936 6202807 7634224 11675872 12405614 15268448 24811228 49622456 99244912 198489824