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4984080240 = 243527176631
BaseRepresentation
bin1001010010001001…
…10000011101110000
3110212100102111202110
410221010300131300
540201411031430
62142322045320
7234336661116
oct45104603560
913770374673
104984080240
112128424287
12b711a9840
13615776709
14353d19ab6
151e285e7b0
hex129130770

4984080240 has 80 divisors (see below), whose sum is σ = 15507864576. Its totient is φ = 1324166400.

The previous prime is 4984080221. The next prime is 4984080293. The reversal of 4984080240 is 420804894.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26725 + ... + 103355.

Almost surely, 24984080240 is an apocalyptic number.

4984080240 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 4984080240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7753932288).

4984080240 is an abundant number, since it is smaller than the sum of its proper divisors (10523784336).

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

4984080240 is a wasteful number, since it uses less digits than its factorization.

4984080240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76918 (or 76912 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 4984080240 is about 70598.0186690816. The cubic root of 4984080240 is about 1708.1591900432.

The spelling of 4984080240 in words is "four billion, nine hundred eighty-four million, eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 271 542 813 1084 1355 1626 2168 2710 3252 4065 4336 5420 6504 8130 10840 13008 16260 21680 32520 65040 76631 153262 229893 306524 383155 459786 613048 766310 919572 1149465 1226096 1532620 1839144 2298930 3065240 3678288 4597860 6130480 9195720 18391440 20767001 41534002 62301003 83068004 103835005 124602006 166136008 207670010 249204012 311505015 332272016 415340020 498408024 623010030 830680040 996816048 1246020060 1661360080 2492040120 4984080240