Search a number
-
+
78104016 = 24324113229
BaseRepresentation
bin1001010011111…
…00010111010000
312102222002120100
410221330113100
5124443312031
611430012400
71635605334
oct451742720
9172862510
1078104016
11400a6781
12221a7100
13132483c3
14a5317c4
156ccbde6
hex4a7c5d0

78104016 has 60 divisors (see below), whose sum is σ = 223930980. Its totient is φ = 25397760.

The previous prime is 78104011. The next prime is 78104017. The reversal of 78104016 is 61040187.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 46294416 + 31809600 = 6804^2 + 5640^2 .

It is a super-2 number, since 2×781040162 = 12200474630656512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78104011) 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 11 ways as a sum of consecutive naturals, for example, 711 + ... + 12518.

It is an arithmetic number, because the mean of its divisors is an integer number (3732183).

Almost surely, 278104016 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 78104016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111965490).

78104016 is an abundant number, since it is smaller than the sum of its proper divisors (145826964).

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

78104016 is a wasteful number, since it uses less digits than its factorization.

78104016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13284 (or 13275 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 78104016 is about 8837.6476508175. The cubic root of 78104016 is about 427.4557089643.

The spelling of 78104016 in words is "seventy-eight million, one hundred four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 13229 26458 39687 52916 79374 105832 119061 158748 211664 238122 317496 476244 542389 634992 952488 1084778 1627167 1904976 2169556 3254334 4339112 4881501 6508668 8678224 9763002 13017336 19526004 26034672 39052008 78104016