Search a number
-
+
25148916 = 2232131729109
BaseRepresentation
bin101111111101…
…1110111110100
31202022200211100
41133323313310
522414231131
62255010100
7423522312
oct137736764
952280740
1025148916
1113217831
128509930
135296c20
1434a90b2
15231b7e6
hex17fbdf4

25148916 has 144 divisors (see below), whose sum is σ = 75675600. Its totient is φ = 6967296.

The previous prime is 25148911. The next prime is 25148923. The reversal of 25148916 is 61984152.

It can be written as a sum of positive squares in 8 ways, for example, as 108900 + 25040016 = 330^2 + 5004^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25148911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230670 + ... + 230778.

It is an arithmetic number, because the mean of its divisors is an integer number (525525).

Almost surely, 225148916 is an apocalyptic number.

25148916 is a gapful number since it is divisible by the number (26) 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 25148916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37837800).

25148916 is an abundant number, since it is smaller than the sum of its proper divisors (50526684).

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

25148916 is a wasteful number, since it uses less digits than its factorization.

25148916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 173 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 25148916 is about 5014.8694898272. The cubic root of 25148916 is about 292.9812022249.

The spelling of 25148916 in words is "twenty-five million, one hundred forty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 29 34 36 39 51 52 58 68 78 87 102 109 116 117 153 156 174 204 218 221 234 261 306 327 348 377 436 442 468 493 522 612 654 663 754 884 981 986 1044 1131 1308 1326 1417 1479 1508 1853 1962 1972 1989 2262 2652 2834 2958 3161 3393 3706 3924 3978 4251 4437 4524 5559 5668 5916 6322 6409 6786 7412 7956 8502 8874 9483 11118 12644 12753 12818 13572 16677 17004 17748 18966 19227 22236 24089 25506 25636 28449 33354 37932 38454 41093 48178 51012 53737 56898 57681 66708 72267 76908 82186 96356 107474 113796 115362 123279 144534 161211 164372 214948 216801 230724 246558 289068 322422 369837 433602 483633 493116 644844 698581 739674 867204 967266 1397162 1479348 1934532 2095743 2794324 4191486 6287229 8382972 12574458 25148916