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198288896 = 2913313
BaseRepresentation
bin10111101000110…
…10011000000000
3111211010010020012
423310122120000
5401230221041
631402004052
74625266511
oct1364323000
9454103205
10198288896
11a1a24423
12564a6628
1332108510
141c498a08
151261c3eb
hexbd1a600

198288896 has 80 divisors (see below), whose sum is σ = 440888448. Its totient is φ = 88565760.

The previous prime is 198288859. The next prime is 198288907. The reversal of 198288896 is 698882891.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6396401 + ... + 6396431.

Almost surely, 2198288896 is an apocalyptic number.

198288896 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 198288896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220444224).

198288896 is an abundant number, since it is smaller than the sum of its proper divisors (242599552).

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

198288896 is an frugal number, since it uses more digits than its factorization.

198288896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 46 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 59.

The square root of 198288896 is about 14081.5090100458. The cubic root of 198288896 is about 583.1310025547.

The spelling of 198288896 in words is "one hundred ninety-eight million, two hundred eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 512 806 832 961 992 1612 1664 1922 1984 3224 3328 3844 3968 6448 6656 7688 7936 12493 12896 15376 15872 24986 25792 29791 30752 49972 51584 59582 61504 99944 103168 119164 123008 199888 206336 238328 246016 387283 399776 476656 492032 774566 799552 953312 1549132 1599104 1906624 3098264 3198208 3813248 6196528 6396416 7626496 12393056 15252992 24786112 49572224 99144448 198288896