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25842640 = 2451073019
BaseRepresentation
bin110001010010…
…1001111010000
31210121221102211
41202211033100
523103431030
62321521504
7432441655
oct142451720
953557384
1025842640
1113650a5a
1287a3294
13547a905
143609c2c
15240712a
hex18a53d0

25842640 has 40 divisors (see below), whose sum is σ = 60665760. Its totient is φ = 10237056.

The previous prime is 25842629. The next prime is 25842659. The reversal of 25842640 is 4624852.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7051 + ... + 10069.

It is an arithmetic number, because the mean of its divisors is an integer number (1516644).

Almost surely, 225842640 is an apocalyptic number.

25842640 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 25842640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30332880).

25842640 is an abundant number, since it is smaller than the sum of its proper divisors (34823120).

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

25842640 is a wasteful number, since it uses less digits than its factorization.

25842640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3139 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 25842640 is about 5083.5656777502. The cubic root of 25842640 is about 295.6507324287.

The spelling of 25842640 in words is "twenty-five million, eight hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 428 535 856 1070 1712 2140 3019 4280 6038 8560 12076 15095 24152 30190 48304 60380 120760 241520 323033 646066 1292132 1615165 2584264 3230330 5168528 6460660 12921320 25842640