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2555510328 = 2332725379173
BaseRepresentation
bin1001100001010001…
…1111111000111000
320121002122101010200
42120110133320320
520213202312303
61101325242200
7120220323300
oct23024377070
96532571120
102555510328
1110a1578808
125b3a03360
133195969b7
141a3580600
15ee5433a3
hex9851fe38

2555510328 has 288 divisors, whose sum is σ = 8354923200. Its totient is φ = 703213056.

The previous prime is 2555510291. The next prime is 2555510333. The reversal of 2555510328 is 8230155552.

2555510328 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2555510292 and 2555510301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14771650 + ... + 14771822.

It is an arithmetic number, because the mean of its divisors is an integer number (29010150).

Almost surely, 22555510328 is an apocalyptic number.

2555510328 is a gapful number since it is divisible by the number (28) 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 2555510328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4177461600).

2555510328 is an abundant number, since it is smaller than the sum of its proper divisors (5799412872).

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

2555510328 is a wasteful number, since it uses less digits than its factorization.

2555510328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 2555510328 is about 50552.0556258596. The cubic root of 2555510328 is about 1367.1805778039.

The spelling of 2555510328 in words is "two billion, five hundred fifty-five million, five hundred ten thousand, three hundred twenty-eight".