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25364768 = 25111323241
BaseRepresentation
bin110000011000…
…0100100100000
31202201122220212
41200300210200
522443133033
62303353252
7425411522
oct140604440
952648825
1025364768
1113354a20
1285b2828
135341250
143523a12
152360748
hex1830920

25364768 has 96 divisors (see below), whose sum is σ = 61471872. Its totient is φ = 10137600.

The previous prime is 25364761. The next prime is 25364777. The reversal of 25364768 is 86746352.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (25364761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105128 + ... + 105368.

It is an arithmetic number, because the mean of its divisors is an integer number (640332).

Almost surely, 225364768 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 25364768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30735936).

25364768 is an abundant number, since it is smaller than the sum of its proper divisors (36107104).

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

25364768 is a wasteful number, since it uses less digits than its factorization.

25364768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 290 counting only the distinct ones).

The product of its digits is 241920, while the sum is 41.

The square root of 25364768 is about 5036.3447062329. The cubic root of 25364768 is about 293.8170302443.

It can be divided in two parts, 253 and 64768, that multiplied together give a square (16386304 = 40482).

The spelling of 25364768 in words is "twenty-five million, three hundred sixty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 13 16 22 23 26 32 44 46 52 88 92 104 143 176 184 208 241 253 286 299 352 368 416 482 506 572 598 736 964 1012 1144 1196 1928 2024 2288 2392 2651 3133 3289 3856 4048 4576 4784 5302 5543 6266 6578 7712 8096 9568 10604 11086 12532 13156 21208 22172 25064 26312 34463 42416 44344 50128 52624 60973 68926 72059 84832 88688 100256 105248 121946 137852 144118 177376 243892 275704 288236 487784 551408 576472 792649 975568 1102816 1152944 1585298 1951136 2305888 3170596 6341192 12682384 25364768