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4985418240 = 29335117983
BaseRepresentation
bin1001010010010011…
…10111001000000000
3110212102221111011000
410221021313020000
540202231340430
62142410452000
7234354233025
oct45111671000
913772844130
104985418240
112129158570
12b71734000
13615b2472a
1435418754c
151e2a25e60
hex129277200

4985418240 has 640 divisors, whose sum is σ = 19798732800. Its totient is φ = 1178910720.

The previous prime is 4985418223. The next prime is 4985418271. The reversal of 4985418240 is 428145894.

4985418240 is a `hidden beast` number, since 498 + 5 + 41 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60065239 + ... + 60065321.

It is an arithmetic number, because the mean of its divisors is an integer number (30935520).

Almost surely, 24985418240 is an apocalyptic number.

4985418240 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 4985418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9899366400).

4985418240 is an abundant number, since it is smaller than the sum of its proper divisors (14813314560).

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

4985418240 is a wasteful number, since it uses less digits than its factorization.

4985418240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 4985418240 is about 70607.4942198064. The cubic root of 4985418240 is about 1708.3120308481.

The spelling of 4985418240 in words is "four billion, nine hundred eighty-five million, four hundred eighteen thousand, two hundred forty".