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425324160 = 27325411801
BaseRepresentation
bin11001010110011…
…110111010000000
31002122022201001200
4121112132322000
51332340333120
6110112101200
713353124062
oct3126367200
91078281050
10425324160
111a90a2378
12ba534800
136a16a201
14406b7732
1527516e90
hex1959ee80

425324160 has 192 divisors, whose sum is σ = 1505354760. Its totient is φ = 110592000.

The previous prime is 425324153. The next prime is 425324167. The reversal of 425324160 is 61423524.

It is an interprime number because it is at equal distance from previous prime (425324153) and next prime (425324167).

It can be written as a sum of positive squares in 4 ways, for example, as 142277184 + 283046976 = 11928^2 + 16824^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425324167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235260 + ... + 237060.

Almost surely, 2425324160 is an apocalyptic number.

425324160 is a gapful number since it is divisible by the number (40) 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 425324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752677380).

425324160 is an abundant number, since it is smaller than the sum of its proper divisors (1080030600).

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

425324160 is a wasteful number, since it uses less digits than its factorization.

425324160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 425324160 is about 20623.3886643296. The cubic root of 425324160 is about 752.0384015398.

Adding to 425324160 its reverse (61423524), we get a palindrome (486747684).

The spelling of 425324160 in words is "four hundred twenty-five million, three hundred twenty-four thousand, one hundred sixty".