Search a number
-
+
194596992 = 27341372
BaseRepresentation
bin10111001100101…
…01000010000000
3111120011112220000
423212111002000
5344304100432
631150520000
74552022112
oct1346250200
9446145800
10194596992
119a932667
1255206000
1331414c65
141bbb73b2
151213d57c
hexb995080

194596992 has 120 divisors (see below), whose sum is σ = 583375485. Its totient is φ = 64392192.

The previous prime is 194596991. The next prime is 194596999. The reversal of 194596992 is 299695491.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 193098816 + 1498176 = 13896^2 + 1224^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=9864.

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

It is not an unprimeable number, because it can be changed into a prime (194596991) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1420348 + ... + 1420484.

Almost surely, 2194596992 is an apocalyptic number.

194596992 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 194596992

194596992 is an abundant number, since it is smaller than the sum of its proper divisors (388778493).

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

194596992 is an frugal number, since it uses more digits than its factorization.

194596992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 142 counting only the distinct ones).

The product of its digits is 1574640, while the sum is 54.

The square root of 194596992 is about 13949.8025792482. The cubic root of 194596992 is about 579.4892372220.

The spelling of 194596992 in words is "one hundred ninety-four million, five hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 137 144 162 192 216 274 288 324 384 411 432 548 576 648 822 864 1096 1152 1233 1296 1644 1728 2192 2466 2592 3288 3456 3699 4384 4932 5184 6576 7398 8768 9864 10368 11097 13152 14796 17536 18769 19728 22194 26304 29592 37538 39456 44388 52608 56307 59184 75076 78912 88776 112614 118368 150152 157824 168921 177552 225228 236736 300304 337842 355104 450456 473472 506763 600608 675684 710208 900912 1013526 1201216 1351368 1420416 1520289 1801824 2027052 2402432 2702736 3040578 3603648 4054104 5405472 6081156 7207296 8108208 10810944 12162312 16216416 21621888 24324624 32432832 48649248 64865664 97298496 194596992