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196010752 = 287891229
BaseRepresentation
bin10111010111011…
…10001100000000
3111122211101012111
423223232030000
5400134321002
631241105104
74600030630
oct1353561400
9448741174
10196010752
11a0708863
1255788194
13317bb5c2
141c0646c0
151231c3d7
hexbaee300

196010752 has 72 divisors (see below), whose sum is σ = 452541600. Its totient is φ = 82993152.

The previous prime is 196010747. The next prime is 196010779. The reversal of 196010752 is 257010691.

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 7 ways as a sum of consecutive naturals, for example, 158874 + ... + 160102.

It is an arithmetic number, because the mean of its divisors is an integer number (6285300).

Almost surely, 2196010752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196010752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226270800).

196010752 is an abundant number, since it is smaller than the sum of its proper divisors (256530848).

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

196010752 is an equidigital number, since it uses as much as digits as its factorization.

196010752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 196010752 is about 14000.3839947339. The cubic root of 196010752 is about 580.8891949418.

The spelling of 196010752 in words is "one hundred ninety-six million, ten thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 128 178 224 256 356 448 623 712 896 1229 1246 1424 1792 2458 2492 2848 4916 4984 5696 8603 9832 9968 11392 17206 19664 19936 22784 34412 39328 39872 68824 78656 79744 109381 137648 157312 159488 218762 275296 314624 437524 550592 765667 875048 1101184 1531334 1750096 2202368 3062668 3500192 6125336 7000384 12250672 14000768 24501344 28001536 49002688 98005376 196010752