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4879444240 = 2451117332051
BaseRepresentation
bin1001000101101011…
…00110100100010000
3110121001112110011001
410202311212210100
534443114203430
62124103231344
7231626406646
oct44265464420
913531473131
104879444240
112084356750
12b42148554
135c9b9ba18
1434407d196
151d85913ca
hex122d66910

4879444240 has 80 divisors (see below), whose sum is σ = 12447971136. Its totient is φ = 1764032000.

The previous prime is 4879444183. The next prime is 4879444249. The reversal of 4879444240 is 424449784.

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

It is not an unprimeable number, because it can be changed into a prime (4879444249) by changing a digit.

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, 136215 + ... + 168265.

Almost surely, 24879444240 is an apocalyptic number.

4879444240 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 4879444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6223985568).

4879444240 is an abundant number, since it is smaller than the sum of its proper divisors (7568526896).

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

4879444240 is a wasteful number, since it uses less digits than its factorization.

4879444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32248 (or 32242 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 46.

The square root of 4879444240 is about 69853.0188324027. The cubic root of 4879444240 is about 1696.1208250962.

The spelling of 4879444240 in words is "four billion, eight hundred seventy-nine million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 173 176 220 346 440 692 865 880 1384 1730 1903 2768 3460 3806 6920 7612 9515 13840 15224 19030 30448 32051 38060 64102 76120 128204 152240 160255 256408 320510 352561 512816 641020 705122 1282040 1410244 1762805 2564080 2820488 3525610 5544823 5640976 7051220 11089646 14102440 22179292 27724115 28204880 44358584 55448230 60993053 88717168 110896460 121986106 221792920 243972212 304965265 443585840 487944424 609930530 975888848 1219861060 2439722120 4879444240