[go: up one dir, main page]

Search a number
-
+
3048484560 = 2435111796451
BaseRepresentation
bin1011010110110100…
…0010111011010000
321212110021001122120
42311231002323100
522220403001220
61222255334240
7135354456042
oct26555027320
97773231576
103048484560
111324876630
12710b21380
1339775bc24
1420cc27a92
1512c96ea40
hexb5b42ed0

3048484560 has 160 divisors (see below), whose sum is σ = 10368622080. Its totient is φ = 734784000.

The previous prime is 3048484559. The next prime is 3048484567. The reversal of 3048484560 is 654848403.

3048484560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30484845602 = 18586516225116787200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3048484567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469335 + ... + 475785.

It is an arithmetic number, because the mean of its divisors is an integer number (64803888).

Almost surely, 23048484560 is an apocalyptic number.

3048484560 is a gapful number since it is divisible by the number (30) 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 3048484560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184311040).

3048484560 is an abundant number, since it is smaller than the sum of its proper divisors (7320137520).

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

3048484560 is a wasteful number, since it uses less digits than its factorization.

3048484560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6657 (or 6651 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 3048484560 is about 55213.0832321471. The cubic root of 3048484560 is about 1449.9777341012.

The spelling of 3048484560 in words is "three billion, forty-eight million, four hundred eighty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 179 220 240 264 330 358 440 528 537 660 716 880 895 1074 1320 1432 1790 1969 2148 2640 2685 2864 3580 3938 4296 5370 5907 6451 7160 7876 8592 9845 10740 11814 12902 14320 15752 19353 19690 21480 23628 25804 29535 31504 32255 38706 39380 42960 47256 51608 59070 64510 70961 77412 78760 94512 96765 103216 118140 129020 141922 154824 157520 193530 212883 236280 258040 283844 309648 354805 387060 425766 472560 516080 567688 709610 774120 851532 1064415 1135376 1154729 1419220 1548240 1703064 2128830 2309458 2838440 3406128 3464187 4257660 4618916 5676880 5773645 6928374 8515320 9237832 11547290 12702019 13856748 17030640 17320935 18475664 23094580 25404038 27713496 34641870 38106057 46189160 50808076 55426992 63510095 69283740 76212114 92378320 101616152 127020190 138567480 152424228 190530285 203232304 254040380 277134960 304848456 381060570 508080760 609696912 762121140 1016161520 1524242280 3048484560