Search a number
-
+
5709627 = 3272112107
BaseRepresentation
bin10101110001111100111011
3101202002010200
4111301330323
52430202002
6322213243
766350100
oct25617473
911662120
105709627
11324a800
121ab4223
13124baa1
14a88aa7
1577bb1c
hex571f3b

5709627 has 54 divisors (see below), whose sum is σ = 10643724. Its totient is φ = 2938320.

The previous prime is 5709623. The next prime is 5709629. The reversal of 5709627 is 7269075.

It is not a de Polignac number, because 5709627 - 22 = 5709623 is a prime.

5709627 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 5709591 and 5709600.

It is not an unprimeable number, because it can be changed into a prime (5709623) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 53308 + ... + 53414.

It is an arithmetic number, because the mean of its divisors is an integer number (197106).

Almost surely, 25709627 is an apocalyptic number.

5709627 is a deficient number, since it is larger than the sum of its proper divisors (4934097).

5709627 is a wasteful number, since it uses less digits than its factorization.

5709627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 5709627 is about 2389.4825799742. The cubic root of 5709627 is about 178.7321086629.

It can be divided in two parts, 5709 and 627, that added together give a palindrome (6336).

The spelling of 5709627 in words is "five million, seven hundred nine thousand, six hundred twenty-seven".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 107 121 147 231 321 363 441 539 693 749 847 963 1089 1177 1617 2247 2541 3531 4851 5243 5929 6741 7623 8239 10593 12947 15729 17787 24717 38841 47187 53361 57673 74151 90629 116523 173019 271887 519057 634403 815661 1903209 5709627