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4506255000 = 233254137703
BaseRepresentation
bin1000011001001011…
…11111111010011000
3102122001022110202100
410030211333322120
533212100130000
62023052403400
7216445351452
oct41445777230
912561273670
104506255000
111a02733095
12a59176560
1356a7868a0
1430a6972d2
151b5926a00
hex10c97fe98

4506255000 has 240 divisors, whose sum is σ = 16425929520. Its totient is φ = 1109088000.

The previous prime is 4506254993. The next prime is 4506255029. The reversal of 4506255000 is 5526054.

4506255000 is a `hidden beast` number, since 4 + 50 + 62 + 550 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 581149 + ... + 588851.

It is an arithmetic number, because the mean of its divisors is an integer number (68441373).

Almost surely, 24506255000 is an apocalyptic number.

4506255000 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 4506255000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8212964760).

4506255000 is an abundant number, since it is smaller than the sum of its proper divisors (11919674520).

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

4506255000 is a wasteful number, since it uses less digits than its factorization.

4506255000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7748 (or 7726 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 4506255000 is about 67128.6451524236. The cubic root of 4506255000 is about 1651.7282167749.

It can be divided in two parts, 450625 and 5000, that added together give a square (455625 = 6752).

The spelling of 4506255000 in words is "four billion, five hundred six million, two hundred fifty-five thousand".