Search a number
-
+
75000037 = 7431237
BaseRepresentation
bin1000111100001…
…10100011100101
312020010101201011
410132012203211
5123200000122
611235302221
71600330000
oct436064345
9166111634
1075000037
1139376702
122114a971
13126cc628
149d64537
1568b7377
hex47868e5

75000037 has 10 divisors (see below), whose sum is σ = 87497638. Its totient is φ = 64283688.

The previous prime is 75000031. The next prime is 75000047. The reversal of 75000037 is 73000057.

It can be written as a sum of positive squares in only one way, i.e., 72692676 + 2307361 = 8526^2 + 1519^2 .

It is a de Polignac number, because none of the positive numbers 2k-75000037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 74999981 and 75000017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75000031) 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 9 ways as a sum of consecutive naturals, for example, 13218 + ... + 18019.

Almost surely, 275000037 is an apocalyptic number.

It is an amenable number.

75000037 is a deficient number, since it is larger than the sum of its proper divisors (12497601).

75000037 is an frugal number, since it uses more digits than its factorization.

75000037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31265 (or 31244 counting only the distinct ones).

The product of its (nonzero) digits is 735, while the sum is 22.

The square root of 75000037 is about 8660.2561740401. The cubic root of 75000037 is about 421.7164019998.

The spelling of 75000037 in words is "seventy-five million, thirty-seven", and thus it is an aban number and an uban number.

Divisors: 1 7 49 343 2401 31237 218659 1530613 10714291 75000037