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59204068 = 22711211911
BaseRepresentation
bin1110000111011…
…0000111100100
311010101212201021
43201312013210
5110124012233
65512540524
71316140420
oct341660744
9133355637
1059204068
1130467990
12179b1744
13c35b8c1
147c11b80
1552e6e2d
hex38761e4

59204068 has 48 divisors (see below), whose sum is σ = 129927168. Its totient is φ = 22932000.

The previous prime is 59204059. The next prime is 59204111. The reversal of 59204068 is 86040295.

It is a happy number.

59204068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 64533 + ... + 65443.

It is an arithmetic number, because the mean of its divisors is an integer number (2706816).

Almost surely, 259204068 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 59204068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64963584).

59204068 is an abundant number, since it is smaller than the sum of its proper divisors (70723100).

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

59204068 is a wasteful number, since it uses less digits than its factorization.

59204068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 59204068 is about 7694.4179766893. The cubic root of 59204068 is about 389.7479590010.

The spelling of 59204068 in words is "fifty-nine million, two hundred four thousand, sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 211 308 422 844 911 1477 1822 2321 2954 3644 4642 5908 6377 9284 10021 12754 16247 20042 25508 32494 40084 64988 70147 140294 192221 280588 384442 768884 1345547 2114431 2691094 4228862 5382188 8457724 14801017 29602034 59204068