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68048037 = 32137229241
BaseRepresentation
bin1000000111001…
…01010010100101
311202001012100200
410003211102211
5114410014122
610430301113
71454253531
oct403452245
9152035320
1068048037
1135458552
121a957799
1311137215
149074bc1
155e925ac
hex40e54a5

68048037 has 24 divisors (see below), whose sum is σ = 99854040. Its totient is φ = 44651520.

The previous prime is 68048027. The next prime is 68048077. The reversal of 68048037 is 73084086.

It can be written as a sum of positive squares in 4 ways, for example, as 36978561 + 31069476 = 6081^2 + 5574^2 .

It is not a de Polignac number, because 68048037 - 24 = 68048021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 68047992 and 68048010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68048027) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 282237 + ... + 282477.

It is an arithmetic number, because the mean of its divisors is an integer number (4160585).

Almost surely, 268048037 is an apocalyptic number.

It is an amenable number.

68048037 is a deficient number, since it is larger than the sum of its proper divisors (31806003).

68048037 is a wasteful number, since it uses less digits than its factorization.

68048037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 68048037 is about 8249.1234079749. The cubic root of 68048037 is about 408.2616005420.

It can be divided in two parts, 6804 and 8037, that added together give a palindrome (14841).

The spelling of 68048037 in words is "sixty-eight million, forty-eight thousand, thirty-seven".

Divisors: 1 3 9 137 229 241 411 687 723 1233 2061 2169 31373 33017 55189 94119 99051 165567 282357 297153 496701 7560893 22682679 68048037