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198049104 = 24331171587
BaseRepresentation
bin10111100110111…
…11110101010000
3111210122221022000
423303133311100
5401200032404
631352514000
74623250431
oct1363376520
9453587260
10198049104
11a1880250
12563ab900
1332053326
141c435488
15125c1339
hexbcdfd50

198049104 has 160 divisors (see below), whose sum is σ = 629959680. Its totient is φ = 59068800.

The previous prime is 198049097. The next prime is 198049139. The reversal of 198049104 is 401940891.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337099 + ... + 337685.

It is an arithmetic number, because the mean of its divisors is an integer number (3937248).

Almost surely, 2198049104 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 198049104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314979840).

198049104 is an abundant number, since it is smaller than the sum of its proper divisors (431910576).

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

198049104 is a wasteful number, since it uses less digits than its factorization.

198049104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 198049104 is about 14072.9920059666. The cubic root of 198049104 is about 582.8958464166.

Adding to 198049104 its reverse (401940891), we get a palindrome (599989995).

The spelling of 198049104 in words is "one hundred ninety-eight million, forty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 71 72 88 99 108 132 142 144 176 198 213 216 264 284 297 396 426 432 528 568 587 594 639 781 792 852 1136 1174 1188 1278 1562 1584 1704 1761 1917 2343 2348 2376 2556 3124 3408 3522 3834 4686 4696 4752 5112 5283 6248 6457 7029 7044 7668 9372 9392 10224 10566 12496 12914 14058 14088 15336 15849 18744 19371 21087 21132 25828 28116 28176 30672 31698 37488 38742 41677 42174 42264 51656 56232 58113 63396 77484 83354 84348 84528 103312 112464 116226 125031 126792 154968 166708 168696 174339 232452 250062 253584 309936 333416 337392 348678 375093 458447 464904 500124 666832 697356 750186 916894 929808 1000248 1125279 1375341 1394712 1500372 1833788 2000496 2250558 2750682 2789424 3000744 3667576 4126023 4501116 5501364 6001488 7335152 8252046 9002232 11002728 12378069 16504092 18004464 22005456 24756138 33008184 49512276 66016368 99024552 198049104