Search a number
-
+
78173064 = 23321085737
BaseRepresentation
bin1001010100011…
…01001110001000
312110002121021200
410222031032020
5130003014224
611431304200
71636313544
oct452151610
9173077250
1078173064
1140143642
122221b060
1313270968
14a54ca24
156ce25c9
hex4a8d388

78173064 has 24 divisors (see below), whose sum is σ = 211718910. Its totient is φ = 26057664.

The previous prime is 78173047. The next prime is 78173093. The reversal of 78173064 is 46037187.

It can be written as a sum of positive squares in only one way, i.e., 51236964 + 26936100 = 7158^2 + 5190^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×781730643 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 542797 + ... + 542940.

Almost surely, 278173064 is an apocalyptic number.

It is an amenable number.

78173064 is an abundant number, since it is smaller than the sum of its proper divisors (133545846).

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

78173064 is a wasteful number, since it uses less digits than its factorization.

78173064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085749 (or 1085742 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 78173064 is about 8841.5532572054. The cubic root of 78173064 is about 427.5816361999.

The spelling of 78173064 in words is "seventy-eight million, one hundred seventy-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1085737 2171474 3257211 4342948 6514422 8685896 9771633 13028844 19543266 26057688 39086532 78173064