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194728512 = 26311137673
BaseRepresentation
bin10111001101101…
…01001001000000
3111120102020022010
423212311021000
5344322303022
631153412520
74553110416
oct1346651100
9446366263
10194728512
119aa12460
125526a140
133145ca94
141bc0d2b6
151216750c
hexb9b5240

194728512 has 112 divisors (see below), whose sum is σ = 567001152. Its totient is φ = 58490880.

The previous prime is 194728483. The next prime is 194728517. The reversal of 194728512 is 215827491.

It is not an unprimeable number, because it can be changed into a prime (194728517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289008 + ... + 289680.

Almost surely, 2194728512 is an apocalyptic number.

194728512 is a gapful number since it is divisible by the number (12) 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 194728512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283500576).

194728512 is an abundant number, since it is smaller than the sum of its proper divisors (372272640).

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

194728512 is a wasteful number, since it uses less digits than its factorization.

194728512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 826 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 194728512 is about 13954.5158282185. The cubic root of 194728512 is about 579.6197586997.

The spelling of 194728512 in words is "one hundred ninety-four million, seven hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 137 176 192 264 274 352 411 528 548 673 704 822 1056 1096 1346 1507 1644 2019 2112 2192 2692 3014 3288 4038 4384 4521 5384 6028 6576 7403 8076 8768 9042 10768 12056 13152 14806 16152 18084 21536 22209 24112 26304 29612 32304 36168 43072 44418 48224 59224 64608 72336 88836 92201 96448 118448 129216 144672 177672 184402 236896 276603 289344 355344 368804 473792 553206 710688 737608 1014211 1106412 1421376 1475216 2028422 2212824 2950432 3042633 4056844 4425648 5900864 6085266 8113688 8851296 12170532 16227376 17702592 24341064 32454752 48682128 64909504 97364256 194728512