Search a number
-
+
68018256 = 2432472349
BaseRepresentation
bin1000000110111…
…10000001010000
311201222200111200
410003132001100
5114403041011
610425511200
71454100645
oct403360120
9151880450
1068018256
1135438139
121a942500
13111267b7
149067dcc
155e88856
hex40de050

68018256 has 30 divisors (see below), whose sum is σ = 190357050. Its totient is φ = 22672704.

The previous prime is 68018231. The next prime is 68018257. The reversal of 68018256 is 65281086.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 66977856 + 1040400 = 8184^2 + 1020^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 68018256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68018257) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 236031 + ... + 236318.

It is an arithmetic number, because the mean of its divisors is an integer number (6345235).

Almost surely, 268018256 is an apocalyptic number.

It is an amenable number.

68018256 is an abundant number, since it is smaller than the sum of its proper divisors (122338794).

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

68018256 is a wasteful number, since it uses less digits than its factorization.

68018256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472363 (or 472354 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 68018256 is about 8247.3181095432. The cubic root of 68018256 is about 408.2020337350.

The spelling of 68018256 in words is "sixty-eight million, eighteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 472349 944698 1417047 1889396 2834094 3778792 4251141 5668188 7557584 8502282 11336376 17004564 22672752 34009128 68018256