Search a number
-
+
75045924 = 22322084609
BaseRepresentation
bin1000111100100…
…01110000100100
312020012201122200
410132101300210
5123202432144
611240254500
71600610532
oct436216044
9166181580
1075045924
11393a8128
1221171430
1312717495
149d77152
1568c5c69
hex4791c24

75045924 has 18 divisors (see below), whose sum is σ = 189699510. Its totient is φ = 25015296.

The previous prime is 75045923. The next prime is 75045937. The reversal of 75045924 is 42954057.

It can be written as a sum of positive squares in only one way, i.e., 70560000 + 4485924 = 8400^2 + 2118^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2084609 = 75045924 / (7 + 5 + 0 + 4 + 5 + 9 + 2 + 4).

It is not an unprimeable number, because it can be changed into a prime (75045923) 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 5 ways as a sum of consecutive naturals, for example, 1042269 + ... + 1042340.

Almost surely, 275045924 is an apocalyptic number.

It is an amenable number.

75045924 is an abundant number, since it is smaller than the sum of its proper divisors (114653586).

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

75045924 is a wasteful number, since it uses less digits than its factorization.

75045924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084619 (or 2084614 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 75045924 is about 8662.9050554649. The cubic root of 75045924 is about 421.8023902033.

The spelling of 75045924 in words is "seventy-five million, forty-five thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2084609 4169218 6253827 8338436 12507654 18761481 25015308 37522962 75045924