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196483296 = 2532325373
BaseRepresentation
bin10111011011000…
…01100011100000
3111200201101102010
423231201203200
5400244431141
631255152520
74604036412
oct1355414340
9450641363
10196483296
11a0a00899
1255975740
1331925709
141c1489b2
15123b2416
hexbb618e0

196483296 has 144 divisors (see below), whose sum is σ = 556866576. Its totient is φ = 60622848.

The previous prime is 196483289. The next prime is 196483307. The reversal of 196483296 is 692384691.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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, 2691516 + ... + 2691588.

It is an arithmetic number, because the mean of its divisors is an integer number (3867129).

Almost surely, 2196483296 is an apocalyptic number.

196483296 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 196483296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278433288).

196483296 is an abundant number, since it is smaller than the sum of its proper divisors (360383280).

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

196483296 is a wasteful number, since it uses less digits than its factorization.

196483296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 154 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 196483296 is about 14017.2499442651. The cubic root of 196483296 is about 581.3556241394.

The spelling of 196483296 in words is "one hundred ninety-six million, four hundred eighty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 53 69 73 92 96 106 138 146 159 184 212 219 276 292 318 368 424 438 529 552 584 636 736 848 876 1058 1104 1168 1219 1272 1587 1679 1696 1752 2116 2208 2336 2438 2544 3174 3358 3504 3657 3869 4232 4876 5037 5088 6348 6716 7008 7314 7738 8464 9752 10074 11607 12696 13432 14628 15476 16928 19504 20148 23214 25392 26864 28037 29256 30952 38617 39008 40296 46428 50784 53728 56074 58512 61904 77234 80592 84111 88987 92856 112148 115851 117024 123808 154468 161184 168222 177974 185712 224296 231702 266961 308936 336444 355948 371424 448592 463404 533922 617872 672888 711896 897184 926808 1067844 1235744 1345776 1423792 1853616 2046701 2135688 2691552 2847584 3707232 4093402 4271376 6140103 8186804 8542752 12280206 16373608 24560412 32747216 49120824 65494432 98241648 196483296