Search a number
-
+
2635425 = 3252131753
BaseRepresentation
bin1010000011011010100001
311221220010100
422003122201
51133313200
6132253013
731254312
oct12033241
94856110
102635425
111540041
12a71169
13713730
144c8609
15370d00
hex2836a1

2635425 has 72 divisors (see below), whose sum is σ = 5484024. Its totient is φ = 1198080.

The previous prime is 2635411. The next prime is 2635429. The reversal of 2635425 is 5245362.

2635425 is a `hidden beast` number, since 2 + 635 + 4 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 535824 + 2099601 = 732^2 + 1449^2 .

It is not a de Polignac number, because 2635425 - 218 = 2373281 is a prime.

It is a d-powerful number, because it can be written as 29 + 6 + 312 + 55 + 43 + 221 + 55 .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2635429) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49699 + ... + 49751.

It is an arithmetic number, because the mean of its divisors is an integer number (76167).

22635425 is an apocalyptic number.

2635425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2635425 is an abundant number, since it is smaller than the sum of its proper divisors (2848599).

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

2635425 is a wasteful number, since it uses less digits than its factorization.

2635425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 91 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 2635425 is about 1623.3992115312. The cubic root of 2635425 is about 138.1285821092.

The spelling of 2635425 in words is "two million, six hundred thirty-five thousand, four hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 39 45 51 53 65 75 85 117 153 159 195 221 225 255 265 325 425 477 585 663 689 765 795 901 975 1105 1275 1325 1989 2067 2385 2703 2925 3315 3445 3825 3975 4505 5525 6201 8109 9945 10335 11713 11925 13515 16575 17225 22525 31005 35139 40545 49725 51675 58565 67575 105417 155025 175695 202725 292825 527085 878475 2635425