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25239312 = 24327473
BaseRepresentation
bin110000001000…
…1111100010000
31202111021211100
41200101330100
522430124222
62300544400
7424350000
oct140217420
952437740
1025239312
111327973a
128552100
1352c9107
1434d0000
1523384ac
hex1811f10

25239312 has 150 divisors (see below), whose sum is σ = 83531422. Its totient is φ = 7112448.

The previous prime is 25239311. The next prime is 25239337. The reversal of 25239312 is 21393252.

It can be written as a sum of positive squares in only one way, i.e., 22127616 + 3111696 = 4704^2 + 1764^2 .

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (25239311) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 345708 + ... + 345780.

Almost surely, 225239312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25239312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41765711).

25239312 is an abundant number, since it is smaller than the sum of its proper divisors (58292110).

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

25239312 is an equidigital number, since it uses as much as digits as its factorization.

25239312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 85 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 25239312 is about 5023.8742022467. The cubic root of 25239312 is about 293.3318158783.

It can be divided in two parts, 252393 and 12, that added together give a triangular number (252405 = T710).

The spelling of 25239312 in words is "twenty-five million, two hundred thirty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 73 84 98 112 126 144 146 147 168 196 219 252 292 294 336 343 392 438 441 504 511 584 588 657 686 784 876 882 1008 1022 1029 1168 1176 1314 1372 1533 1752 1764 2044 2058 2352 2401 2628 2744 3066 3087 3504 3528 3577 4088 4116 4599 4802 5256 5488 6132 6174 7056 7154 7203 8176 8232 9198 9604 10512 10731 12264 12348 14308 14406 16464 18396 19208 21462 21609 24528 24696 25039 28616 28812 32193 36792 38416 42924 43218 49392 50078 57232 57624 64386 73584 75117 85848 86436 100156 115248 128772 150234 171696 172872 175273 200312 225351 257544 300468 345744 350546 400624 450702 515088 525819 600936 701092 901404 1051638 1201872 1402184 1577457 1802808 2103276 2804368 3154914 3605616 4206552 6309828 8413104 12619656 25239312