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73315216 = 2413418597
BaseRepresentation
bin1000101111010…
…11001110010000
312002221210120101
410113223032100
5122232041331
611135222144
71550111662
oct427531620
9162853511
1073315216
1138425897
1220677954
131225c7b0
149a46532
156683061
hex45eb390

73315216 has 40 divisors (see below), whose sum is σ = 156724344. Its totient is φ = 33008640.

The previous prime is 73315213. The next prime is 73315267. The reversal of 73315216 is 61251337.

It can be written as a sum of positive squares in 4 ways, for example, as 41616 + 73273600 = 204^2 + 8560^2 .

It is not an unprimeable number, because it can be changed into a prime (73315213) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4230 + ... + 12826.

Almost surely, 273315216 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 73315216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78362172).

73315216 is an abundant number, since it is smaller than the sum of its proper divisors (83409128).

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

73315216 is a wasteful number, since it uses less digits than its factorization.

73315216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8659 (or 8653 counting only the distinct ones).

The product of its digits is 3780, while the sum is 28.

The square root of 73315216 is about 8562.4304960683. The cubic root of 73315216 is about 418.5346059111.

The spelling of 73315216 in words is "seventy-three million, three hundred fifteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 1066 2132 4264 8528 8597 17194 34388 68776 111761 137552 223522 352477 447044 704954 894088 1409908 1788176 2819816 4582201 5639632 9164402 18328804 36657608 73315216