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196616484 = 2234192412
BaseRepresentation
bin10111011100000…
…10000100100100
3111200222011010000
423232002010210
5400313211414
631302101300
74605132621
oct1356020444
9450864100
10196616484
11a0a91969
1255a1a830
133197121c
141c181348
15123dbb09
hexbb82124

196616484 has 135 divisors (see below), whose sum is σ = 556024161. Its totient is φ = 60575040.

The previous prime is 196616471. The next prime is 196616501. The reversal of 196616484 is 484616691.

The square root of 196616484 is 14022.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9474084 + 187142400 = 3078^2 + 13680^2 .

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 44 ways as a sum of consecutive naturals, for example, 4795504 + ... + 4795544.

Almost surely, 2196616484 is an apocalyptic number.

196616484 is the 14022-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196616484

196616484 is an abundant number, since it is smaller than the sum of its proper divisors (359407677).

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

196616484 is a wasteful number, since it uses less digits than its factorization.

196616484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 65 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The cubic root of 196616484 is about 581.4869535460.

The spelling of 196616484 in words is "one hundred ninety-six million, six hundred sixteen thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 41 54 57 76 81 82 108 114 123 162 164 171 228 246 324 342 361 369 492 513 684 722 738 779 1026 1083 1107 1444 1476 1539 1558 1681 2052 2166 2214 2337 3078 3116 3249 3321 3362 4332 4428 4674 5043 6156 6498 6642 6724 7011 9348 9747 10086 12996 13284 14022 14801 15129 19494 20172 21033 28044 29241 29602 30258 31939 38988 42066 44403 45387 58482 59204 60516 63099 63878 84132 88806 90774 95817 116964 126198 127756 133209 136161 177612 181548 191634 252396 266418 272322 287451 383268 399627 532836 544644 574902 606841 799254 862353 1149804 1198881 1213682 1598508 1724706 1820523 2397762 2427364 2587059 3449412 3641046 4795524 5174118 5461569 7282092 10348236 10923138 16384707 21846276 32769414 49154121 65538828 98308242 196616484