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73427761 = 112192412
BaseRepresentation
bin1000110000001…
…10101100110001
312010011111221201
410120012230301
5122244142021
611141451201
71551061051
oct430065461
9163144851
1073427761
11384a2400
1220710b01
131229baa4
149a75561
1566a6591
hex4606b31

73427761 has 27 divisors (see below), whose sum is σ = 87309579. Its totient is φ = 61696800.

The previous prime is 73427749. The next prime is 73427803. The reversal of 73427761 is 16772437.

The square root of 73427761 is 8569.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3538161 + 69889600 = 1881^2 + 8360^2 .

It is not a de Polignac number, because 73427761 - 213 = 73419569 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 73427761.

It is not an unprimeable number, because it can be changed into a prime (73427701) 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 26 ways as a sum of consecutive naturals, for example, 1790901 + ... + 1790941.

Almost surely, 273427761 is an apocalyptic number.

73427761 is the 8569-th square number.

73427761 is the 4285-th centered octagonal number.

It is an amenable number.

73427761 is a deficient number, since it is larger than the sum of its proper divisors (13881818).

73427761 is a wasteful number, since it uses less digits than its factorization.

73427761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 71 counting only the distinct ones).

The product of its digits is 49392, while the sum is 37.

The cubic root of 73427761 is about 418.7486583160.

The spelling of 73427761 in words is "seventy-three million, four hundred twenty-seven thousand, seven hundred sixty-one".

Divisors: 1 11 19 41 121 209 361 451 779 1681 2299 3971 4961 8569 14801 18491 31939 43681 94259 162811 203401 351329 606841 1790921 3864619 6675251 73427761