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199038984 = 233193747251
BaseRepresentation
bin10111101110100…
…01100000001000
3111212112020011020
423313101200020
5401423221414
631430032440
74634542404
oct1367214010
9455466136
10199038984
11a2396a31
12567a8720
133230ba61
141c612104
15127197a9
hexbdd1808

199038984 has 128 divisors (see below), whose sum is σ = 551577600. Its totient is φ = 59616000.

The previous prime is 199038979. The next prime is 199039039. The reversal of 199038984 is 489830991.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 792859 + ... + 793109.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 2199038984 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 199038984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275788800).

199038984 is an abundant number, since it is smaller than the sum of its proper divisors (352538616).

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

199038984 is a wasteful number, since it uses less digits than its factorization.

199038984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The square root of 199038984 is about 14108.1176632462. The cubic root of 199038984 is about 583.8653674136.

The spelling of 199038984 in words is "one hundred ninety-nine million, thirty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 47 57 74 76 94 111 114 141 148 152 188 222 228 251 282 296 376 444 456 502 564 703 753 888 893 1004 1128 1406 1506 1739 1786 2008 2109 2679 2812 3012 3478 3572 4218 4769 5217 5358 5624 6024 6956 7144 8436 9287 9538 10434 10716 11797 13912 14307 16872 18574 19076 20868 21432 23594 27861 28614 33041 35391 37148 38152 41736 47188 55722 57228 66082 70782 74296 94376 99123 111444 114456 132164 141564 176453 198246 222888 224143 264328 283128 352906 396492 436489 448286 529359 672429 705812 792984 872978 896572 1058718 1309467 1344858 1411624 1745956 1793144 2117436 2618934 2689716 3491912 4234872 5237868 5379432 8293291 10475736 16586582 24879873 33173164 49759746 66346328 99519492 199038984