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2425151520 = 2532511283541
BaseRepresentation
bin1001000010001100…
…1110000000100000
320021000100110110200
42100203032000200
514431314322040
61040351225200
7114045306411
oct22043160040
96230313420
102425151520
111034a31260
12578218200
132c8583acc
14190129808
15e2d93630
hex908ce020

2425151520 has 288 divisors, whose sum is σ = 9076826304. Its totient is φ = 584755200.

The previous prime is 2425151503. The next prime is 2425151557. The reversal of 2425151520 is 251515242.

2425151520 is a `hidden beast` number, since 2 + 42 + 51 + 51 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4482450 + ... + 4482990.

It is an arithmetic number, because the mean of its divisors is an integer number (31516758).

Almost surely, 22425151520 is an apocalyptic number.

2425151520 is a gapful number since it is divisible by the number (20) 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 2425151520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4538413152).

2425151520 is an abundant number, since it is smaller than the sum of its proper divisors (6651674784).

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

2425151520 is a wasteful number, since it uses less digits than its factorization.

2425151520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 2425151520 is about 49245.8274374591. The cubic root of 2425151520 is about 1343.5266721843.

Adding to 2425151520 its reverse (251515242), we get a palindrome (2676666762).

The spelling of 2425151520 in words is "two billion, four hundred twenty-five million, one hundred fifty-one thousand, five hundred twenty".