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25426080 = 2532517657
BaseRepresentation
bin110000011111…
…1100010100000
31202211210000200
41200333202200
523002113310
62304545200
7426055341
oct140774240
952753020
1025426080
1113396a99
128622200
135363124
14353c0c8
1523739c0
hex183f8a0

25426080 has 72 divisors (see below), whose sum is σ = 86771412. Its totient is φ = 6779904.

The previous prime is 25426057. The next prime is 25426091. The reversal of 25426080 is 8062452.

25426080 is a `hidden beast` number, since 2 + 54 + 2 + 608 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23386896 + 2039184 = 4836^2 + 1428^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nialpdrome in base 12.

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 11 ways as a sum of consecutive naturals, for example, 7389 + ... + 10268.

Almost surely, 225426080 is an apocalyptic number.

25426080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25426080 is an abundant number, since it is smaller than the sum of its proper divisors (61345332).

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

25426080 is a wasteful number, since it uses less digits than its factorization.

25426080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17678 (or 17667 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 25426080 is about 5042.4279865953. The cubic root of 25426080 is about 294.0535790175.

The spelling of 25426080 in words is "twenty-five million, four hundred twenty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 17657 35314 52971 70628 88285 105942 141256 158913 176570 211884 264855 282512 317826 353140 423768 529710 565024 635652 706280 794565 847536 1059420 1271304 1412560 1589130 1695072 2118840 2542608 2825120 3178260 4237680 5085216 6356520 8475360 12713040 25426080