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25284240 = 2432535117
BaseRepresentation
bin110000001110…
…0111010010000
31202120120110100
41200130322100
522433043430
62301532400
7424624662
oct140347220
952516410
1025284240
11132aa473
128574100
1353136b7
143502532
152346960
hex181ce90

25284240 has 60 divisors (see below), whose sum is σ = 84915324. Its totient is φ = 6742272.

The previous prime is 25284229. The next prime is 25284241. The reversal of 25284240 is 4248252.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2702736 + 22581504 = 1644^2 + 4752^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25284241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16839 + ... + 18278.

Almost surely, 225284240 is an apocalyptic number.

25284240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25284240 is an abundant number, since it is smaller than the sum of its proper divisors (59631084).

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

25284240 is a wasteful number, since it uses less digits than its factorization.

25284240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35136 (or 35127 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 25284240 is about 5028.3436636730. The cubic root of 25284240 is about 293.5057640927.

The spelling of 25284240 in words is "twenty-five million, two hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 35117 70234 105351 140468 175585 210702 280936 316053 351170 421404 526755 561872 632106 702340 842808 1053510 1264212 1404680 1580265 1685616 2107020 2528424 2809360 3160530 4214040 5056848 6321060 8428080 12642120 25284240