Search a number
-
+
23427625 = 531321109
BaseRepresentation
bin101100101011…
…1101000101001
31122002020122211
41121113220221
521444141000
62154045121
7403063054
oct131275051
948066584
1023427625
1112251581
127a197a1
134b13600
14317ba9b
1520cb7ba
hex1657a29

23427625 has 24 divisors (see below), whose sum is σ = 31688280. Its totient is φ = 17284800.

The previous prime is 23427619. The next prime is 23427629. The reversal of 23427625 is 52672432.

It can be written as a sum of positive squares in 12 ways, for example, as 22924944 + 502681 = 4788^2 + 709^2 .

It is not a de Polignac number, because 23427625 - 23 = 23427617 is a prime.

It is a super-2 number, since 2×234276252 = 1097707226281250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23427629) 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 23 ways as a sum of consecutive naturals, for example, 20571 + ... + 21679.

It is an arithmetic number, because the mean of its divisors is an integer number (1320345).

Almost surely, 223427625 is an apocalyptic number.

23427625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23427625 is a deficient number, since it is larger than the sum of its proper divisors (8260655).

23427625 is a wasteful number, since it uses less digits than its factorization.

23427625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1127 counting only the distinct ones).

The product of its digits is 20160, while the sum is 31.

The square root of 23427625 is about 4840.2091896942. The cubic root of 23427625 is about 286.1383628033.

The spelling of 23427625 in words is "twenty-three million, four hundred twenty-seven thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 169 325 845 1109 1625 4225 5545 14417 21125 27725 72085 138625 187421 360425 937105 1802125 4685525 23427625