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25538040 = 23325116449
BaseRepresentation
bin110000101101…
…0110111111000
31210001110121100
41201122313320
523014204130
62311211400
7430032633
oct141326770
953043540
1025538040
1113463120
128676b60
1353a2088
14356ac1a
152396c60
hex185adf8

25538040 has 96 divisors (see below), whose sum is σ = 90558000. Its totient is φ = 6190080.

The previous prime is 25538003. The next prime is 25538059. The reversal of 25538040 is 4083552.

It is a junction number, because it is equal to n+sod(n) for n = 25537995 and 25538013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 736 + ... + 7184.

Almost surely, 225538040 is an apocalyptic number.

25538040 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 25538040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45279000).

25538040 is an abundant number, since it is smaller than the sum of its proper divisors (65019960).

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

25538040 is a wasteful number, since it uses less digits than its factorization.

25538040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6477 (or 6470 counting only the distinct ones).

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

The square root of 25538040 is about 5053.5175867904. The cubic root of 25538040 is about 294.4845542712.

The spelling of 25538040 in words is "twenty-five million, five hundred thirty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 6449 12898 19347 25796 32245 38694 51592 58041 64490 70939 77388 96735 116082 128980 141878 154776 193470 212817 232164 257960 283756 290205 354695 386940 425634 464328 567512 580410 638451 709390 773880 851268 1064085 1160820 1276902 1418780 1702536 2128170 2321640 2553804 2837560 3192255 4256340 5107608 6384510 8512680 12769020 25538040