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25853040 = 2433511969
BaseRepresentation
bin110001010011…
…1110001110000
31210122110201000
41202213301300
523104244130
62322042000
7432514203
oct142476160
953573630
1025853040
1113658854
1287a9300
135482575
14360d93a
15240a260
hex18a7c70

25853040 has 80 divisors (see below), whose sum is σ = 89056800. Its totient is φ = 6893568.

The previous prime is 25852991. The next prime is 25853041. The reversal of 25853040 is 4035852.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 25852995 and 25853013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25853041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3825 + ... + 8144.

It is an arithmetic number, because the mean of its divisors is an integer number (1113210).

Almost surely, 225853040 is an apocalyptic number.

25853040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25853040 is an abundant number, since it is smaller than the sum of its proper divisors (63203760).

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

25853040 is a wasteful number, since it uses less digits than its factorization.

25853040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11991 (or 11979 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 25853040 is about 5084.5884789233. The cubic root of 25853040 is about 295.6903872426.

Adding to 25853040 its reverse (4035852), we get a palindrome (29888892).

It can be divided in two parts, 2585 and 3040, that added together give a square (5625 = 752).

The spelling of 25853040 in words is "twenty-five million, eight hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 11969 23938 35907 47876 59845 71814 95752 107721 119690 143628 179535 191504 215442 239380 287256 323163 359070 430884 478760 538605 574512 646326 718140 861768 957520 1077210 1292652 1436280 1615815 1723536 2154420 2585304 2872560 3231630 4308840 5170608 6463260 8617680 12926520 25853040