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4880979000 = 23345360259
BaseRepresentation
bin1001000101110110…
…11101010000111000
3110121011102102110000
410202323131100320
534444012312000
62124200153000
7231645431322
oct44273352070
913534372400
104880979000
112085204847
12b42768760
135ca2b8471
1434435c612
151d8796000
hex122edd438

4880979000 has 160 divisors (see below), whose sum is σ = 17062016400. Its totient is φ = 1301572800.

The previous prime is 4880978983. The next prime is 4880979001. The reversal of 4880979000 is 9790884.

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 (4880979001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50871 + ... + 111129.

Almost surely, 24880979000 is an apocalyptic number.

4880979000 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 4880979000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8531008200).

4880979000 is an abundant number, since it is smaller than the sum of its proper divisors (12181037400).

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

4880979000 is a wasteful number, since it uses less digits than its factorization.

4880979000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60292 (or 60269 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 4880979000 is about 69864.0036070078. The cubic root of 4880979000 is about 1696.2986367069.

The spelling of 4880979000 in words is "four billion, eight hundred eighty million, nine hundred seventy-nine thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 125 135 150 162 180 200 216 225 250 270 300 324 360 375 405 450 500 540 600 648 675 750 810 900 1000 1080 1125 1350 1500 1620 1800 2025 2250 2700 3000 3240 3375 4050 4500 5400 6750 8100 9000 10125 13500 16200 20250 27000 40500 60259 81000 120518 180777 241036 301295 361554 482072 542331 602590 723108 903885 1084662 1205180 1446216 1506475 1626993 1807770 2169324 2410360 2711655 3012950 3253986 3615540 4338648 4519425 4880979 5423310 6025900 6507972 7231080 7532375 8134965 9038850 9761958 10846620 12051800 13015944 13558275 15064750 16269930 18077700 19523916 21693240 22597125 24404895 27116550 30129500 32539860 36155400 39047832 40674825 45194250 48809790 54233100 60259000 65079720 67791375 81349650 90388500 97619580 108466200 122024475 135582750 162699300 180777000 195239160 203374125 244048950 271165500 325398600 406748250 488097900 542331000 610122375 813496500 976195800 1220244750 1626993000 2440489500 4880979000