Search a number
-
+
78103008 = 253390397
BaseRepresentation
bin1001010011111…
…00000111100000
312102222001012000
410221330013200
5124443244013
611430004000
71635602364
oct451740740
9172861160
1078103008
11400a5a45
12221a6600
1313247ac9
14a5312a4
156ccb973
hex4a7c1e0

78103008 has 48 divisors (see below), whose sum is σ = 227802960. Its totient is φ = 26034048.

The previous prime is 78102971. The next prime is 78103021. The reversal of 78103008 is 80030187.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×781030082 = 12200159717296128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44335 + ... + 46062.

It is an arithmetic number, because the mean of its divisors is an integer number (4745895).

Almost surely, 278103008 is an apocalyptic number.

It is an amenable number.

78103008 is an abundant number, since it is smaller than the sum of its proper divisors (149699952).

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

78103008 is a wasteful number, since it uses less digits than its factorization.

78103008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90416 (or 90402 counting only the distinct ones).

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

The square root of 78103008 is about 8837.5906218833. The cubic root of 78103008 is about 427.4538700609.

The spelling of 78103008 in words is "seventy-eight million, one hundred three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 90397 180794 271191 361588 542382 723176 813573 1084764 1446352 1627146 2169528 2440719 2892704 3254292 4339056 4881438 6508584 8678112 9762876 13017168 19525752 26034336 39051504 78103008