Base | Representation |
---|---|
bin | 1000110010011… |
… | …10111010010000 |
3 | 12010201112200100 |
4 | 10121032322100 |
5 | 122333123121 |
6 | 11152052400 |
7 | 1553432265 |
oct | 431167220 |
9 | 163645610 |
10 | 73723536 |
11 | 38684647 |
12 | 20834100 |
13 | 123735c3 |
14 | 9b1126c |
15 | 6714026 |
hex | 464ee90 |
73723536 has 120 divisors (see below), whose sum is σ = 215559864. Its totient is φ = 23500800.
The previous prime is 73723513. The next prime is 73723537. The reversal of 73723536 is 63532737.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 49280400 + 24443136 = 7020^2 + 4944^2 .
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 73723536.
It is not an unprimeable number, because it can be changed into a prime (73723537) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538060 + ... + 538196.
Almost surely, 273723536 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 73723536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107779932).
73723536 is an abundant number, since it is smaller than the sum of its proper divisors (141836328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
73723536 is a wasteful number, since it uses less digits than its factorization.
73723536 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 289 (or 280 counting only the distinct ones).
The product of its digits is 79380, while the sum is 36.
The square root of 73723536 is about 8586.2410867620. The cubic root of 73723536 is about 419.3101600919.
The spelling of 73723536 in words is "seventy-three million, seven hundred twenty-three thousand, five hundred thirty-six".
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