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25138900 = 225219101131
BaseRepresentation
bin101111111100…
…1011011010100
31202022012002101
41133321123110
522413421100
62254451444
7423451153
oct137713324
952265071
1025138900
1113210256
128503b84
1352924b7
1434a559a
15231886a
hex17f96d4

25138900 has 72 divisors (see below), whose sum is σ = 58433760. Its totient is φ = 9360000.

The previous prime is 25138871. The next prime is 25138943. The reversal of 25138900 is 983152.

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, 191835 + ... + 191965.

It is an arithmetic number, because the mean of its divisors is an integer number (811580).

Almost surely, 225138900 is an apocalyptic number.

25138900 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 25138900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29216880).

25138900 is an abundant number, since it is smaller than the sum of its proper divisors (33294860).

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

25138900 is a wasteful number, since it uses less digits than its factorization.

25138900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 25138900 is about 5013.8707602011. The cubic root of 25138900 is about 292.9423020806.

The spelling of 25138900 in words is "twenty-five million, one hundred thirty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 101 131 190 202 262 380 404 475 505 524 655 950 1010 1310 1900 1919 2020 2489 2525 2620 3275 3838 4978 5050 6550 7676 9595 9956 10100 12445 13100 13231 19190 24890 26462 38380 47975 49780 52924 62225 66155 95950 124450 132310 191900 248900 251389 264620 330775 502778 661550 1005556 1256945 1323100 2513890 5027780 6284725 12569450 25138900