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425205144 = 2332721373127
BaseRepresentation
bin11001010110000…
…001110110011000
31002122002122210200
4121112001312120
51332323031034
6110105342200
713352120100
oct3126016630
91078078720
10425205144
111a9020a11
12ba497960
136a127ca0
1440686200
15274e1a99
hex19581d98

425205144 has 288 divisors, whose sum is σ = 1473937920. Its totient is φ = 109734912.

The previous prime is 425205127. The next prime is 425205149. The reversal of 425205144 is 441502524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425205149) 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 71 ways as a sum of consecutive naturals, for example, 3348009 + ... + 3348135.

It is an arithmetic number, because the mean of its divisors is an integer number (5117840).

Almost surely, 2425205144 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 425205144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736968960).

425205144 is an abundant number, since it is smaller than the sum of its proper divisors (1048732776).

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

425205144 is a wasteful number, since it uses less digits than its factorization.

425205144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 425205144 is about 20620.5030006545. The cubic root of 425205144 is about 751.9682488103.

Adding to 425205144 its reverse (441502524), we get a palindrome (866707668).

The spelling of 425205144 in words is "four hundred twenty-five million, two hundred five thousand, one hundred forty-four".