Search a number
-
+
193314792 = 23311977549
BaseRepresentation
bin10111000010110…
…11111111101000
3111110202102001010
423201123333220
5343442033132
631103223520
74535101656
oct1341337750
9443672033
10193314792
119a1372a0
12548a7ba0
1331086468
141b961dd6
1511e886cc
hexb85bfe8

193314792 has 64 divisors (see below), whose sum is σ = 532728000. Its totient is φ = 57968640.

The previous prime is 193314763. The next prime is 193314811. The reversal of 193314792 is 297413391.

It is a self number, because there is not a number n which added to its sum of digits gives 193314792.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21834 + ... + 29382.

It is an arithmetic number, because the mean of its divisors is an integer number (8323875).

Almost surely, 2193314792 is an apocalyptic number.

193314792 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 193314792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266364000).

193314792 is an abundant number, since it is smaller than the sum of its proper divisors (339413208).

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

193314792 is a wasteful number, since it uses less digits than its factorization.

193314792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7666 (or 7662 counting only the distinct ones).

The product of its digits is 40824, while the sum is 39.

The square root of 193314792 is about 13903.7689854226. The cubic root of 193314792 is about 578.2136796111.

The spelling of 193314792 in words is "one hundred ninety-three million, three hundred fourteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 97 132 194 264 291 388 582 776 1067 1164 2134 2328 3201 4268 6402 7549 8536 12804 15098 22647 25608 30196 45294 60392 83039 90588 166078 181176 249117 332156 498234 664312 732253 996468 1464506 1992936 2196759 2929012 4393518 5858024 8054783 8787036 16109566 17574072 24164349 32219132 48328698 64438264 96657396 193314792