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198049248 = 25322932347
BaseRepresentation
bin10111100110111…
…11110111100000
3111210122221111100
423303133313200
5401200033443
631352514400
74623251025
oct1363376740
9453587440
10198049248
11a1880371
12563aba00
1332053407
141c43554c
15125c13d3
hexbcdfde0

198049248 has 72 divisors (see below), whose sum is σ = 565365528. Its totient is φ = 65763072.

The previous prime is 198049223. The next prime is 198049259. The reversal of 198049248 is 842940891.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83211 + ... + 85557.

It is an arithmetic number, because the mean of its divisors is an integer number (7852299).

Almost surely, 2198049248 is an apocalyptic number.

198049248 is a gapful number since it is divisible by the number (18) 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 198049248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282682764).

198049248 is an abundant number, since it is smaller than the sum of its proper divisors (367316280).

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

198049248 is a wasteful number, since it uses less digits than its factorization.

198049248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 198049248 is about 14072.9971221485. The cubic root of 198049248 is about 582.8959876896.

The spelling of 198049248 in words is "one hundred ninety-eight million, forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 293 586 879 1172 1758 2344 2347 2637 3516 4688 4694 5274 7032 7041 9376 9388 10548 14064 14082 18776 21096 21123 28128 28164 37552 42192 42246 56328 75104 84384 84492 112656 168984 225312 337968 675936 687671 1375342 2063013 2750684 4126026 5501368 6189039 8252052 11002736 12378078 16504104 22005472 24756156 33008208 49512312 66016416 99024624 198049248