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452025 = 32527241
BaseRepresentation
bin1101110010110111001
3211222001200
41232112321
5103431100
613404413
73561600
oct1562671
9758050
10452025
11289682
12199709
1312a992
14baa37
158de00
hex6e5b9

452025 has 54 divisors (see below), whose sum is σ = 964782. Its totient is φ = 201600.

The previous prime is 452017. The next prime is 452027. The reversal of 452025 is 520254.

452025 = 712 + 722 + ... + 1192.

452025 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in 3 ways, for example, as 441 + 451584 = 21^2 + 672^2 .

It is not a de Polignac number, because 452025 - 23 = 452017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 451989 and 452007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452027) 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, 11005 + ... + 11045.

2452025 is an apocalyptic number.

452025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

452025 is an abundant number, since it is smaller than the sum of its proper divisors (512757).

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

452025 is a wasteful number, since it uses less digits than its factorization.

452025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 452025 is about 672.3280449304. The cubic root of 452025 is about 76.7457176644.

Adding to 452025 its reverse (520254), we get a palindrome (972279).

It can be divided in two parts, 45 and 2025, that multiplied together give a cube (91125 = 453).

The spelling of 452025 in words is "four hundred fifty-two thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 41 45 49 63 75 105 123 147 175 205 225 245 287 315 369 441 525 615 735 861 1025 1225 1435 1575 1845 2009 2205 2583 3075 3675 4305 6027 7175 9225 10045 11025 12915 18081 21525 30135 50225 64575 90405 150675 452025