Search a number
-
+
78199341 = 31129411993
BaseRepresentation
bin1001010100100…
…11101000101101
312110010221022220
410222103220231
5130004334331
611432025553
71636453263
oct452235055
9173127286
1078199341
1140161360
12222322b9
131327c8cc
14a558433
156cea296
hex4a93a2d

78199341 has 32 divisors (see below), whose sum is σ = 120597120. Its totient is φ = 44620800.

The previous prime is 78199321. The next prime is 78199349. The reversal of 78199341 is 14399187.

78199341 = 13612 + 13622 + ... + 14012.

It is a happy number.

It is not a de Polignac number, because 78199341 - 25 = 78199309 is a prime.

It is a super-2 number, since 2×781993412 = 12230273865668562, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78199293 and 78199302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78199349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38241 + ... + 40233.

It is an arithmetic number, because the mean of its divisors is an integer number (3768660).

Almost surely, 278199341 is an apocalyptic number.

It is an amenable number.

78199341 is a deficient number, since it is larger than the sum of its proper divisors (42397779).

78199341 is a wasteful number, since it uses less digits than its factorization.

78199341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077.

The product of its digits is 54432, while the sum is 42.

The square root of 78199341 is about 8843.0391269065. The cubic root of 78199341 is about 427.6295397591.

The spelling of 78199341 in words is "seventy-eight million, one hundred ninety-nine thousand, three hundred forty-one".

Divisors: 1 3 11 29 33 41 87 123 319 451 957 1189 1353 1993 3567 5979 13079 21923 39237 57797 65769 81713 173391 245139 635767 898843 1907301 2369677 2696529 7109031 26066447 78199341