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194514048 = 273473257
BaseRepresentation
bin10111001100000…
…00110010000000
3111120000100010000
423212000302000
5344243422143
631145040000
74551225231
oct1346006200
9446010100
10194514048
119a886313
1255186000
13313b6291
141bb95088
1512123bd3
hexb980c80

194514048 has 160 divisors (see below), whose sum is σ = 589083660. Its totient is φ = 63700992.

The previous prime is 194514043. The next prime is 194514071. The reversal of 194514048 is 840415491.

It can be written as a sum of positive squares in 2 ways, for example, as 169833024 + 24681024 = 13032^2 + 4968^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194514043) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 756736 + ... + 756992.

Almost surely, 2194514048 is an apocalyptic number.

194514048 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 194514048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294541830).

194514048 is an abundant number, since it is smaller than the sum of its proper divisors (394569612).

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

194514048 is an equidigital number, since it uses as much as digits as its factorization.

194514048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 194514048 is about 13946.8293170885. The cubic root of 194514048 is about 579.4068927051.

The spelling of 194514048 in words is "one hundred ninety-four million, five hundred fourteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 81 96 108 128 144 146 162 192 216 219 257 288 292 324 384 432 438 514 576 584 648 657 771 864 876 1028 1152 1168 1296 1314 1542 1728 1752 1971 2056 2313 2336 2592 2628 3084 3456 3504 3942 4112 4626 4672 5184 5256 5913 6168 6939 7008 7884 8224 9252 9344 10368 10512 11826 12336 13878 14016 15768 16448 18504 18761 20817 21024 23652 24672 27756 28032 31536 32896 37008 37522 41634 42048 47304 49344 55512 56283 63072 74016 75044 83268 84096 94608 98688 111024 112566 126144 148032 150088 166536 168849 189216 222048 225132 252288 296064 300176 333072 337698 378432 444096 450264 506547 600352 666144 675396 756864 888192 900528 1013094 1200704 1332288 1350792 1519641 1801056 2026188 2401408 2664576 2701584 3039282 3602112 4052376 5403168 6078564 7204224 8104752 10806336 12157128 16209504 21612672 24314256 32419008 48628512 64838016 97257024 194514048