Search a number
-
+
5755575 = 352719577
BaseRepresentation
bin10101111101001010110111
3101211102011110
4111331022313
52433134300
6323210103
766631050
oct25751267
911742143
105755575
113281281
121b16933
131266987
14a9b727
1578a550
hex57d2b7

5755575 has 48 divisors (see below), whose sum is σ = 11467520. Its totient is φ = 2488320.

The previous prime is 5755567. The next prime is 5755577.

5755575 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5755575 - 23 = 5755567 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5755577) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9687 + ... + 10263.

Almost surely, 25755575 is an apocalyptic number.

5755575 is a deficient number, since it is larger than the sum of its proper divisors (5711945).

5755575 is a wasteful number, since it uses less digits than its factorization.

5755575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 611 counting only the distinct ones).

The product of its digits is 153125, while the sum is 39.

The square root of 5755575 is about 2399.0779478791. The cubic root of 5755575 is about 179.2102748247.

It can be divided in two parts, 57555 and 75, that added together give a triangular number (57630 = T339).

The spelling of 5755575 in words is "five million, seven hundred fifty-five thousand, five hundred seventy-five".

Divisors: 1 3 5 7 15 19 21 25 35 57 75 95 105 133 175 285 399 475 525 577 665 1425 1731 1995 2885 3325 4039 8655 9975 10963 12117 14425 20195 32889 43275 54815 60585 76741 100975 164445 230223 274075 302925 383705 822225 1151115 1918525 5755575