Search a number
-
+
78454116 = 2233131719173
BaseRepresentation
bin1001010110100…
…01110101100100
312110121212211000
410223101311210
5130041012431
611441313300
71641564126
oct453216544
9173555730
1078454116
1140315814
1222335830
131333b870
14a5c3216
156d4a9e6
hex4ad1d64

78454116 has 192 divisors, whose sum is σ = 245548800. Its totient is φ = 21399552.

The previous prime is 78454091. The next prime is 78454141. The reversal of 78454116 is 61145487.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (78454091) and next prime (78454141).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 453406 + ... + 453578.

It is an arithmetic number, because the mean of its divisors is an integer number (1278900).

Almost surely, 278454116 is an apocalyptic number.

78454116 is a gapful number since it is divisible by the number (76) 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 78454116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122774400).

78454116 is an abundant number, since it is smaller than the sum of its proper divisors (167094684).

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

78454116 is a wasteful number, since it uses less digits than its factorization.

78454116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 227 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 78454116 is about 8857.4328109221. The cubic root of 78454116 is about 428.0934448194.

The spelling of 78454116 in words is "seventy-eight million, four hundred fifty-four thousand, one hundred sixteen".