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196279296 = 2103181353
BaseRepresentation
bin10111011001011…
…11110000000000
3111200100000120120
423230233300000
5400221414141
631250540240
74602226563
oct1354576000
9450300516
10196279296
11a08815a4
1255897680
13318838c5
141c0d44da
1512371c66
hexbb2fc00

196279296 has 88 divisors (see below), whose sum is σ = 527536464. Its totient is φ = 64880640.

The previous prime is 196279289. The next prime is 196279319. The reversal of 196279296 is 692972691.

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, 555856 + ... + 556208.

Almost surely, 2196279296 is an apocalyptic number.

196279296 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 196279296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263768232).

196279296 is an abundant number, since it is smaller than the sum of its proper divisors (331257168).

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

196279296 is a wasteful number, since it uses less digits than its factorization.

196279296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 539 counting only the distinct ones).

The product of its digits is 734832, while the sum is 51.

The square root of 196279296 is about 14009.9713061805. The cubic root of 196279296 is about 581.1543557738.

The spelling of 196279296 in words is "one hundred ninety-six million, two hundred seventy-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 256 353 362 384 512 543 706 724 768 1024 1059 1086 1412 1448 1536 2118 2172 2824 2896 3072 4236 4344 5648 5792 8472 8688 11296 11584 16944 17376 22592 23168 33888 34752 45184 46336 63893 67776 69504 90368 92672 127786 135552 139008 180736 185344 191679 255572 271104 278016 361472 383358 511144 542208 556032 766716 1022288 1084416 1533432 2044576 3066864 4089152 6133728 8178304 12267456 16356608 24534912 32713216 49069824 65426432 98139648 196279296