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438131025 = 3452232409
BaseRepresentation
bin11010000111010…
…101100101010001
31010112102100210000
4122013111211101
51344130143100
6111250400213
713600023633
oct3207254521
91115370700
10438131025
1120534a362
12102890069
136ca02537
144228ca53
15286e6900
hex1a1d5951

438131025 has 90 divisors (see below), whose sum is σ = 850464230. Its totient is φ = 222963840.

The previous prime is 438131009. The next prime is 438131027. The reversal of 438131025 is 520131834.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 98724096 + 339406929 = 9936^2 + 18423^2 .

It is not a de Polignac number, because 438131025 - 24 = 438131009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 438131025.

It is not an unprimeable number, because it can be changed into a prime (438131027) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1071021 + ... + 1071429.

Almost surely, 2438131025 is an apocalyptic number.

438131025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

438131025 is a deficient number, since it is larger than the sum of its proper divisors (412333205).

438131025 is a wasteful number, since it uses less digits than its factorization.

438131025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 438131025 is about 20931.5796107222. The cubic root of 438131025 is about 759.5120511667.

Adding to 438131025 its reverse (520131834), we get a palindrome (958262859).

The spelling of 438131025 in words is "four hundred thirty-eight million, one hundred thirty-one thousand, twenty-five".

Divisors: 1 3 5 9 15 23 25 27 45 69 75 81 115 135 207 225 345 405 409 529 575 621 675 1035 1227 1587 1725 1863 2025 2045 2645 3105 3681 4761 5175 6135 7935 9315 9407 10225 11043 13225 14283 15525 18405 23805 28221 30675 33129 39675 42849 46575 47035 55215 71415 84663 92025 119025 141105 165645 214245 216361 235175 253989 276075 357075 423315 649083 705525 761967 828225 1071225 1081805 1269945 1947249 2116575 3245415 3809835 5409025 5841747 6349725 9736245 16227075 17525241 19049175 29208735 48681225 87626205 146043675 438131025