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194928768 = 27362089
BaseRepresentation
bin10111001111001…
…10000010000000
3111120210102000000
423213212002000
5344400210033
631202000000
74554603306
oct1347460200
9446712000
10194928768
11a0039961
1255346000
13314ccc88
141bc62276
15121a6a13
hexb9e6080

194928768 has 112 divisors (see below), whose sum is σ = 582514350. Its totient is φ = 64945152.

The previous prime is 194928757. The next prime is 194928781. The reversal of 194928768 is 867829491.

194928768 is a `hidden beast` number, since 19 + 492 + 87 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 131056704 + 63872064 = 11448^2 + 7992^2 .

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

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 13 ways as a sum of consecutive naturals, for example, 92268 + ... + 94356.

Almost surely, 2194928768 is an apocalyptic number.

194928768 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 194928768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291257175).

194928768 is an abundant number, since it is smaller than the sum of its proper divisors (387585582).

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

194928768 is an frugal number, since it uses more digits than its factorization.

194928768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2094 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 194928768 is about 13961.6892960702. The cubic root of 194928768 is about 579.8183815018.

The spelling of 194928768 in words is "one hundred ninety-four million, nine hundred twenty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2089 2592 2916 3456 3888 4178 5184 5832 6267 7776 8356 10368 11664 12534 15552 16712 18801 23328 25068 31104 33424 37602 46656 50136 56403 66848 75204 93312 100272 112806 133696 150408 169209 200544 225612 267392 300816 338418 401088 451224 507627 601632 676836 802176 902448 1015254 1203264 1353672 1522881 1804896 2030508 2406528 2707344 3045762 3609792 4061016 5414688 6091524 7219584 8122032 10829376 12183048 16244064 21658752 24366096 32488128 48732192 64976256 97464384 194928768