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199035744 = 25323109827
BaseRepresentation
bin10111101110100…
…00101101100000
3111212112001201020
423313100231200
5401423120434
631430005440
74634530065
oct1367205540
9455461636
10199035744
11a2394556
12567a6880
133230a43b
141c610c6c
1512718849
hexbdd0b60

199035744 has 96 divisors (see below), whose sum is σ = 550851840. Its totient is φ = 62802432.

The previous prime is 199035713. The next prime is 199035763. The reversal of 199035744 is 447530991.

199035744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 199035696 and 199035705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240259 + ... + 241085.

It is an arithmetic number, because the mean of its divisors is an integer number (5738040).

Almost surely, 2199035744 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 199035744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275425920).

199035744 is an abundant number, since it is smaller than the sum of its proper divisors (351816096).

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

199035744 is a wasteful number, since it uses less digits than its factorization.

With its successor (199035745) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (964).

199035744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 199035744 is about 14108.0028352705. The cubic root of 199035744 is about 583.8621993004.

The spelling of 199035744 in words is "one hundred ninety-nine million, thirty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 109 138 184 218 276 327 368 436 552 654 736 827 872 1104 1308 1654 1744 2208 2481 2507 2616 3308 3488 4962 5014 5232 6616 7521 9924 10028 10464 13232 15042 19021 19848 20056 26464 30084 38042 39696 40112 57063 60168 76084 79392 80224 90143 114126 120336 152168 180286 228252 240672 270429 304336 360572 456504 540858 608672 721144 913008 1081716 1442288 1826016 2073289 2163432 2884576 4146578 4326864 6219867 8293156 8653728 12439734 16586312 24879468 33172624 49758936 66345248 99517872 199035744