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25142144 = 27892207
BaseRepresentation
bin101111111101…
…0001110000000
31202022100112112
41133322032000
522414022034
62254514452
7423463466
oct137721600
952270475
1025142144
1113212735
128505a28
135293b11
1434a6836
1523197ce
hex17fa380

25142144 has 32 divisors (see below), whose sum is σ = 50673600. Its totient is φ = 12424192.

The previous prime is 25142141. The next prime is 25142153. The reversal of 25142144 is 44124152.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25142141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10289 + ... + 12495.

It is an arithmetic number, because the mean of its divisors is an integer number (1583550).

Almost surely, 225142144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25336800).

25142144 is an abundant number, since it is smaller than the sum of its proper divisors (25531456).

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

25142144 is an equidigital number, since it uses as much as digits as its factorization.

25142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2298 counting only the distinct ones).

The product of its digits is 1280, while the sum is 23.

The square root of 25142144 is about 5014.1942523201. The cubic root of 25142144 is about 292.9549022601.

Adding to 25142144 its reverse (44124152), we get a palindrome (69266296).

The spelling of 25142144 in words is "twenty-five million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 89 128 178 356 712 1424 2207 2848 4414 5696 8828 11392 17656 35312 70624 141248 196423 282496 392846 785692 1571384 3142768 6285536 12571072 25142144