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25730440 = 235532229
BaseRepresentation
bin110001000100…
…1110110001000
31210102020112021
41202021312020
523041333230
62315254224
7431463601
oct142116610
953366467
1025730440
111358472a
12874a374
13543b818
1435bada8
1523d3c7a
hex1889d88

25730440 has 48 divisors (see below), whose sum is σ = 59264100. Its totient is φ = 10053888.

The previous prime is 25730437. The next prime is 25730449. The reversal of 25730440 is 4403752.

It can be written as a sum of positive squares in 6 ways, for example, as 22410756 + 3319684 = 4734^2 + 1822^2 .

It is not an unprimeable number, because it can be changed into a prime (25730449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112246 + ... + 112474.

Almost surely, 225730440 is an apocalyptic number.

25730440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25730440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29632050).

25730440 is an abundant number, since it is smaller than the sum of its proper divisors (33533660).

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

25730440 is a wasteful number, since it uses less digits than its factorization.

25730440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 25730440 is about 5072.5181123383. The cubic root of 25730440 is about 295.2222398865. Note that the first 4 decimals are identical.

The spelling of 25730440 in words is "twenty-five million, seven hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 229 265 424 458 530 916 1060 1145 1832 2120 2290 2809 4580 5618 9160 11236 12137 14045 22472 24274 28090 48548 56180 60685 97096 112360 121370 242740 485480 643261 1286522 2573044 3216305 5146088 6432610 12865220 25730440