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199239744 = 26311293253
BaseRepresentation
bin10111110000000…
…10100001000000
3111212220102112210
423320002201000
5402001132434
631434222120
74636336614
oct1370024100
9455812483
10199239744
11a2513850
1256884940
133237c252
141c665344
1512758ee9
hexbe02840

199239744 has 112 divisors (see below), whose sum is σ = 595091520. Its totient is φ = 58275840.

The previous prime is 199239743. The next prime is 199239749. The reversal of 199239744 is 447932991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 199239693 and 199239702.

It is not an unprimeable number, because it can be changed into a prime (199239743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59622 + ... + 62874.

Almost surely, 2199239744 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 199239744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297545760).

199239744 is an abundant number, since it is smaller than the sum of its proper divisors (395851776).

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

199239744 is a wasteful number, since it uses less digits than its factorization.

199239744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308 (or 3298 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The square root of 199239744 is about 14115.2309226594. The cubic root of 199239744 is about 584.0616060612.

The spelling of 199239744 in words is "one hundred ninety-nine million, two hundred thirty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 132 174 176 192 232 264 319 348 352 464 528 638 696 704 928 957 1056 1276 1392 1856 1914 2112 2552 2784 3253 3828 5104 5568 6506 7656 9759 10208 13012 15312 19518 20416 26024 30624 35783 39036 52048 61248 71566 78072 94337 104096 107349 143132 156144 188674 208192 214698 283011 286264 312288 377348 429396 566022 572528 624576 754696 858792 1037707 1132044 1145056 1509392 1717584 2075414 2264088 2290112 3018784 3113121 3435168 4150828 4528176 6037568 6226242 6870336 8301656 9056352 12452484 16603312 18112704 24904968 33206624 49809936 66413248 99619872 199239744