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198642416 = 247173192
BaseRepresentation
bin10111101011100…
…00101011110000
3111211210002011112
423311300223300
5401323024131
631413332452
74631301260
oct1365605360
9454702145
10198642416
11a2145a95
1256637128
13322003bb
141c54b7a0
151268c02b
hexbd70af0

198642416 has 120 divisors (see below), whose sum is σ = 493227360. Its totient is φ = 75907584.

The previous prime is 198642407. The next prime is 198642443. The reversal of 198642416 is 614246891.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10454855 + ... + 10454873.

It is an arithmetic number, because the mean of its divisors is an integer number (4110228).

Almost surely, 2198642416 is an apocalyptic number.

198642416 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 198642416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246613680).

198642416 is an abundant number, since it is smaller than the sum of its proper divisors (294584944).

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

198642416 is an equidigital number, since it uses as much as digits as its factorization.

198642416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 45 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The square root of 198642416 is about 14094.0560521093. The cubic root of 198642416 is about 583.4773424769.

The spelling of 198642416 in words is "one hundred ninety-eight million, six hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 19 28 34 38 56 68 76 112 119 133 136 152 238 266 272 289 304 323 361 476 532 578 646 722 952 1064 1156 1292 1444 1904 2023 2128 2261 2312 2527 2584 2888 4046 4522 4624 4913 5054 5168 5491 5776 6137 8092 9044 9826 10108 10982 12274 16184 18088 19652 20216 21964 24548 32368 34391 36176 38437 39304 40432 42959 43928 49096 68782 76874 78608 85918 87856 93347 98192 104329 137564 153748 171836 186694 208658 275128 307496 343672 373388 417316 550256 614992 653429 687344 730303 746776 834632 1306858 1460606 1493552 1669264 1773593 2613716 2921212 3547186 5227432 5842424 7094372 10454864 11684848 12415151 14188744 24830302 28377488 49660604 99321208 198642416