Search a number
-
+
199057392 = 24332915889
BaseRepresentation
bin10111101110101…
…01111111110000
3111212120011102000
423313111333300
5401424314032
631430254000
74634650152
oct1367257760
9455504360
10199057392
11a23a9846
12567b7300
1332317251
141c618ad2
151271ee7c
hexbdd5ff0

199057392 has 80 divisors (see below), whose sum is σ = 591108000. Its totient is φ = 64060416.

The previous prime is 199057381. The next prime is 199057399. The reversal of 199057392 is 293750991.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199057399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4584 + ... + 20472.

It is an arithmetic number, because the mean of its divisors is an integer number (7388850).

Almost surely, 2199057392 is an apocalyptic number.

199057392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199057392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295554000).

199057392 is an abundant number, since it is smaller than the sum of its proper divisors (392050608).

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

199057392 is a wasteful number, since it uses less digits than its factorization.

199057392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15935 (or 15923 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 199057392 is about 14108.7700385257. The cubic root of 199057392 is about 583.8833663371.

The spelling of 199057392 in words is "one hundred ninety-nine million, fifty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1566 2088 3132 4176 6264 12528 15889 31778 47667 63556 95334 127112 143001 190668 254224 286002 381336 429003 460781 572004 762672 858006 921562 1144008 1382343 1716012 1843124 2288016 2764686 3432024 3686248 4147029 5529372 6864048 7372496 8294058 11058744 12441087 16588116 22117488 24882174 33176232 49764348 66352464 99528696 199057392