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2556425300 = 2252111319972
BaseRepresentation
bin1001100001011111…
…1111010001010100
320121011100212020112
42120113333101110
520213421102200
61101401022152
7120231153662
oct23027772124
96534325215
102556425300
1110a2043190
125b4184958
133198272c0
141a373bc32
15ee674535
hex985ff454

2556425300 has 216 divisors, whose sum is σ = 6931743840. Its totient is φ = 804556800.

The previous prime is 2556425297. The next prime is 2556425327. The reversal of 2556425300 is 35246552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26354852 + ... + 26354948.

Almost surely, 22556425300 is an apocalyptic number.

2556425300 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 2556425300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3465871920).

2556425300 is an abundant number, since it is smaller than the sum of its proper divisors (4375318540).

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

2556425300 is a wasteful number, since it uses less digits than its factorization.

2556425300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The square root of 2556425300 is about 50561.1046160979. The cubic root of 2556425300 is about 1367.3437262586.

The spelling of 2556425300 in words is "two billion, five hundred fifty-six million, four hundred twenty-five thousand, three hundred".