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198632448 = 2103273079
BaseRepresentation
bin10111101011011…
…10010000000000
3111211202120111100
423311232100000
5401322214243
631413214400
74631230230
oct1365562000
9454676440
10198632448
11a2139553
1256631400
13321c89c1
141c547cc0
15126890d3
hexbd6e400

198632448 has 132 divisors (see below), whose sum is σ = 655695040. Its totient is φ = 56733696.

The previous prime is 198632443. The next prime is 198632449. The reversal of 198632448 is 844236891.

It is a happy number.

198632448 is a `hidden beast` number, since 1 + 9 + 8 + 632 + 4 + 4 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198632443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62973 + ... + 66051.

Almost surely, 2198632448 is an apocalyptic number.

198632448 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 198632448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327847520).

198632448 is an abundant number, since it is smaller than the sum of its proper divisors (457062592).

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

198632448 is a wasteful number, since it uses less digits than its factorization.

198632448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3091 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 198632448 is about 14093.7024234230. The cubic root of 198632448 is about 583.4675825616.

The spelling of 198632448 in words is "one hundred ninety-eight million, six hundred thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3079 3584 4032 4608 5376 6158 7168 8064 9216 9237 10752 12316 16128 18474 21504 21553 24632 27711 32256 36948 43106 49264 55422 64512 64659 73896 86212 98528 110844 129318 147792 172424 193977 197056 221688 258636 295584 344848 387954 394112 443376 517272 591168 689696 775908 788224 886752 1034544 1182336 1379392 1551816 1576448 1773504 2069088 2364672 2758784 3103632 3152896 3547008 4138176 4729344 5517568 6207264 7094016 8276352 9458688 11035136 12414528 14188032 16552704 22070272 24829056 28376064 33105408 49658112 66210816 99316224 198632448