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4985395200 = 211325231349
BaseRepresentation
bin1001010010010011…
…10001100000000000
3110212102220022112200
410221021301200000
540202230121300
62142410153200
7234354105612
oct45111614000
913772808480
104985395200
112129142225
12b71722800
13615b170b6
1435417cdb2
151e2a1e200
hex129271800

4985395200 has 432 divisors, whose sum is σ = 18483192000. Its totient is φ = 1282867200.

The previous prime is 4985395193. The next prime is 4985395201. The reversal of 4985395200 is 25935894.

4985395200 is a `hidden beast` number, since 4 + 98 + 5 + 39 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4985395201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14284626 + ... + 14284974.

Almost surely, 24985395200 is an apocalyptic number.

4985395200 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 4985395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9241596000).

4985395200 is an abundant number, since it is smaller than the sum of its proper divisors (13497796800).

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

4985395200 is a wasteful number, since it uses less digits than its factorization.

4985395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 4985395200 is about 70607.3310641324. The cubic root of 4985395200 is about 1708.3093992020.

The spelling of 4985395200 in words is "four billion, nine hundred eighty-five million, three hundred ninety-five thousand, two hundred".