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194434848 = 253217151263
BaseRepresentation
bin10111001011011…
…01011100100000
3111112212022110200
423211231130200
5344233403343
631143225200
74550445306
oct1345553440
9445768420
10194434848
119a831863
1255148200
133138920a
141bb74276
151210a4d3
hexb96d720

194434848 has 144 divisors (see below), whose sum is σ = 591566976. Its totient is φ = 60364800.

The previous prime is 194434819. The next prime is 194434853. The reversal of 194434848 is 848434491.

194434848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 739165 + ... + 739427.

It is an arithmetic number, because the mean of its divisors is an integer number (4108104).

Almost surely, 2194434848 is an apocalyptic number.

194434848 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 194434848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295783488).

194434848 is an abundant number, since it is smaller than the sum of its proper divisors (397132128).

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

194434848 is a wasteful number, since it uses less digits than its factorization.

194434848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 436 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 194434848 is about 13943.9896729738. The cubic root of 194434848 is about 579.3282432776.

The spelling of 194434848 in words is "one hundred ninety-four million, four hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 151 153 204 263 272 288 302 306 408 453 526 544 604 612 789 816 906 1052 1208 1224 1359 1578 1632 1812 2104 2367 2416 2448 2567 2718 3156 3624 4208 4471 4734 4832 4896 5134 5436 6312 7248 7701 8416 8942 9468 10268 10872 12624 13413 14496 15402 17884 18936 20536 21744 23103 25248 26826 30804 35768 37872 39713 40239 41072 43488 46206 53652 61608 71536 75744 79426 80478 82144 92412 107304 119139 123216 143072 158852 160956 184824 214608 238278 246432 317704 321912 357417 369648 429216 476556 635408 643824 675121 714834 739296 953112 1270816 1287648 1350242 1429668 1906224 2025363 2700484 2859336 3812448 4050726 5400968 5718672 6076089 8101452 10801936 11437344 12152178 16202904 21603872 24304356 32405808 48608712 64811616 97217424 194434848