Search a number
-
+
194388768 = 2533732141
BaseRepresentation
bin10111001011000…
…10001100100000
3111112202222021000
423211202030200
5344230420033
631142232000
74550164050
oct1345421440
9445688230
10194388768
119a800182
1255125600
1331371252
141bb61560
15120eba13
hexb962320

194388768 has 96 divisors (see below), whose sum is σ = 647982720. Its totient is φ = 55537920.

The previous prime is 194388737. The next prime is 194388773. The reversal of 194388768 is 867883491.

194388768 is a `hidden beast` number, since 194 + 388 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10023 + ... + 22118.

It is an arithmetic number, because the mean of its divisors is an integer number (6749820).

Almost surely, 2194388768 is an apocalyptic number.

194388768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

194388768 is an abundant number, since it is smaller than the sum of its proper divisors (453593952).

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

194388768 is a wasteful number, since it uses less digits than its factorization.

194388768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32167 (or 32153 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 194388768 is about 13942.3372502604. The cubic root of 194388768 is about 579.2824737823.

The spelling of 194388768 in words is "one hundred ninety-four million, three hundred eighty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 32141 64282 96423 128564 192846 224987 257128 289269 385692 449974 514256 578538 674961 771384 867807 899948 1028512 1157076 1349922 1542768 1735614 1799896 2024883 2314152 2699844 3085536 3471228 3599792 4049766 4628304 5399688 6074649 6942456 7199584 8099532 9256608 10799376 12149298 13884912 16199064 21598752 24298596 27769824 32398128 48597192 64796256 97194384 194388768