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194282928 = 24337411567
BaseRepresentation
bin10111001010010…
…00010110110000
3111112120121002000
423211020112300
5344214023203
631140054000
74546243350
oct1345102660
9445517060
10194282928
119a738704
1255094300
1331335018
141bb34b60
15120ca4a3
hexb9485b0

194282928 has 160 divisors (see below), whose sum is σ = 653291520. Its totient is φ = 54120960.

The previous prime is 194282927. The next prime is 194282971. The reversal of 194282928 is 829282491.

It is a happy number.

It is a super-2 number, since 2×1942829282 = 75491712224506368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (194282927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123201 + ... + 124767.

It is an arithmetic number, because the mean of its divisors is an integer number (4083072).

Almost surely, 2194282928 is an apocalyptic number.

194282928 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 194282928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326645760).

194282928 is an abundant number, since it is smaller than the sum of its proper divisors (459008592).

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

194282928 is a wasteful number, since it uses less digits than its factorization.

194282928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1620 counting only the distinct ones).

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

The square root of 194282928 is about 13938.5411001295. The cubic root of 194282928 is about 579.1773195793.

The spelling of 194282928 in words is "one hundred ninety-four million, two hundred eighty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 41 42 48 54 56 63 72 82 84 108 112 123 126 144 164 168 189 216 246 252 287 328 336 369 378 432 492 504 574 656 738 756 861 984 1008 1107 1148 1476 1512 1567 1722 1968 2214 2296 2583 2952 3024 3134 3444 4428 4592 4701 5166 5904 6268 6888 7749 8856 9402 10332 10969 12536 13776 14103 15498 17712 18804 20664 21938 25072 28206 30996 32907 37608 41328 42309 43876 56412 61992 64247 65814 75216 84618 87752 98721 112824 123984 128494 131628 169236 175504 192741 197442 225648 256988 263256 296163 338472 385482 394884 449729 513976 526512 578223 592326 676944 770964 789768 899458 1027952 1156446 1184652 1349187 1541928 1579536 1734669 1798916 2312892 2369304 2698374 3083856 3469338 3597832 4047561 4625784 4738608 5396748 6938676 7195664 8095122 9251568 10793496 12142683 13877352 16190244 21586992 24285366 27754704 32380488 48570732 64760976 97141464 194282928