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196387296 = 2537283503
BaseRepresentation
bin10111011010010…
…10000111100000
3111200112111201120
423231022013200
5400233343141
631253132240
74603156500
oct1355120740
9450474646
10196387296
11a0945756
125592a080
13318c0b01
141c121a00
1512393c66
hexbb4a1e0

196387296 has 144 divisors (see below), whose sum is σ = 608114304. Its totient is φ = 55324416.

The previous prime is 196387283. The next prime is 196387297. The reversal of 196387296 is 692783691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196387297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390181 + ... + 390683.

It is an arithmetic number, because the mean of its divisors is an integer number (4223016).

Almost surely, 2196387296 is an apocalyptic number.

196387296 is a gapful number since it is divisible by the number (16) 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 196387296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304057152).

196387296 is an abundant number, since it is smaller than the sum of its proper divisors (411727008).

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

196387296 is a wasteful number, since it uses less digits than its factorization.

196387296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 598 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

The square root of 196387296 is about 14013.8251737347. The cubic root of 196387296 is about 581.2609269769.

The spelling of 196387296 in words is "one hundred ninety-six million, three hundred eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 83 84 96 98 112 147 166 168 196 224 249 294 332 336 392 498 503 581 588 664 672 784 996 1006 1162 1176 1328 1509 1568 1743 1992 2012 2324 2352 2656 3018 3486 3521 3984 4024 4067 4648 4704 6036 6972 7042 7968 8048 8134 9296 10563 12072 12201 13944 14084 16096 16268 18592 21126 24144 24402 24647 27888 28168 32536 41749 42252 48288 48804 49294 55776 56336 65072 73941 83498 84504 97608 98588 112672 125247 130144 147882 166996 169008 195216 197176 250494 292243 295764 333992 338016 390432 394352 500988 584486 591528 667984 788704 876729 1001976 1168972 1183056 1335968 1753458 2003952 2045701 2337944 2366112 3506916 4007904 4091402 4675888 6137103 7013832 8182804 9351776 12274206 14027664 16365608 24548412 28055328 32731216 49096824 65462432 98193648 196387296