Search a number
-
+
78075008 = 27112712
BaseRepresentation
bin1001010011101…
…01010010000000
312102220121202222
410221311102000
5124441400013
611425230212
71635424634
oct451652200
9172817688
1078075008
1140086a00
1222192368
131323813b
14a524dc4
156cc3508
hex4a75480

78075008 has 72 divisors (see below), whose sum is σ = 173407395. Its totient is φ = 34988800.

The previous prime is 78074993. The next prime is 78075017. The reversal of 78075008 is 80057087.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 39037504 + 39037504 = 6248^2 + 6248^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=6248.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1099613 + ... + 1099683.

Almost surely, 278075008 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 78075008

78075008 is an abundant number, since it is smaller than the sum of its proper divisors (95332387).

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

78075008 is an equidigital number, since it uses as much as digits as its factorization.

78075008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 35.

The square root of 78075008 is about 8836.0063377071. The cubic root of 78075008 is about 427.4027830874.

The spelling of 78075008 in words is "seventy-eight million, seventy-five thousand, eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 121 128 142 176 242 284 352 484 568 704 781 968 1136 1408 1562 1936 2272 3124 3872 4544 5041 6248 7744 8591 9088 10082 12496 15488 17182 20164 24992 34364 40328 49984 55451 68728 80656 99968 110902 137456 161312 221804 274912 322624 443608 549824 609961 645248 887216 1099648 1219922 1774432 2439844 3548864 4879688 7097728 9759376 19518752 39037504 78075008