Search a number
-
+
78030072 = 23323672953
BaseRepresentation
bin1001010011010…
…10010011111000
312102211100010200
410221222103320
5124433430242
611424242200
71635146631
oct451522370
9172740120
1078030072
114005616a
1222170360
1313220853
14a512888
156cb504c
hex4a6a4f8

78030072 has 48 divisors (see below), whose sum is σ = 211979040. Its totient is φ = 25930368.

The previous prime is 78030067. The next prime is 78030101. The reversal of 78030072 is 27003087.

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 11 ways as a sum of consecutive naturals, for example, 24948 + ... + 27900.

It is an arithmetic number, because the mean of its divisors is an integer number (4416230).

Almost surely, 278030072 is an apocalyptic number.

78030072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

78030072 is an abundant number, since it is smaller than the sum of its proper divisors (133948968).

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

78030072 is a wasteful number, since it uses less digits than its factorization.

78030072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 78030072 is about 8833.4631940140. The cubic root of 78030072 is about 427.3207702566.

The spelling of 78030072 in words is "seventy-eight million, thirty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 367 734 1101 1468 2202 2936 2953 3303 4404 5906 6606 8808 8859 11812 13212 17718 23624 26424 26577 35436 53154 70872 106308 212616 1083751 2167502 3251253 4335004 6502506 8670008 9753759 13005012 19507518 26010024 39015036 78030072