Search a number
-
+
199408392 = 2334378317
BaseRepresentation
bin10111110001010…
…11101100001000
3111220012222220000
423320223230020
5402022032032
631442003000
74640641401
oct1370535410
9456188800
10199408392
11a2619527
1256946460
133240ac41
141c6aa9a8
151278de7c
hexbe2bb08

199408392 has 80 divisors (see below), whose sum is σ = 573692460. Its totient is φ = 64665216.

The previous prime is 199408381. The next prime is 199408397. The reversal of 199408392 is 293804991.

199408392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 144144036 + 55264356 = 12006^2 + 7434^2 .

It is not an unprimeable number, because it can be changed into a prime (199408397) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19818 + ... + 28134.

Almost surely, 2199408392 is an apocalyptic number.

199408392 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 199408392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286846230).

199408392 is an abundant number, since it is smaller than the sum of its proper divisors (374284068).

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

199408392 is a wasteful number, since it uses less digits than its factorization.

199408392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8372 (or 8359 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 199408392 is about 14121.2036314190. The cubic root of 199408392 is about 584.2263540520.

The spelling of 199408392 in words is "one hundred ninety-nine million, four hundred eight thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 648 666 888 999 1332 1998 2664 2997 3996 5994 7992 8317 11988 16634 23976 24951 33268 49902 66536 74853 99804 149706 199608 224559 299412 307729 449118 598824 615458 673677 898236 923187 1230916 1347354 1796472 1846374 2461832 2694708 2769561 3692748 5389416 5539122 7385496 8308683 11078244 16617366 22156488 24926049 33234732 49852098 66469464 99704196 199408392