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4805280 = 253254771
BaseRepresentation
bin10010010101001010100000
3100001010121100
4102111022200
52212232110
6250554400
755562364
oct22251240
910033540
104805280
112792307
121738a00
13cc327c
148d12a4
1564dbc0
hex4952a0

4805280 has 144 divisors (see below), whose sum is σ = 16982784. Its totient is φ = 1236480.

The previous prime is 4805267. The next prime is 4805287. The reversal of 4805280 is 825084.

It is a tau number, because it is divible by the number of its divisors (144).

4805280 is a modest number, since divided by 5280 gives 480 as remainder.

It is not an unprimeable number, because it can be changed into a prime (4805287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67645 + ... + 67715.

It is an arithmetic number, because the mean of its divisors is an integer number (117936).

Almost surely, 24805280 is an apocalyptic number.

4805280 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 4805280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8491392).

4805280 is an abundant number, since it is smaller than the sum of its proper divisors (12177504).

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

4805280 is a wasteful number, since it uses less digits than its factorization.

4805280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4805280 is about 2192.0948884572. The cubic root of 4805280 is about 168.7483621240.

The spelling of 4805280 in words is "four million, eight hundred five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 47 48 60 71 72 80 90 94 96 120 141 142 144 160 180 188 213 235 240 282 284 288 355 360 376 423 426 470 480 564 568 639 705 710 720 752 846 852 940 1065 1128 1136 1278 1410 1420 1440 1504 1692 1704 1880 2115 2130 2256 2272 2556 2820 2840 3195 3337 3384 3408 3760 4230 4260 4512 5112 5640 5680 6390 6674 6768 6816 7520 8460 8520 10011 10224 11280 11360 12780 13348 13536 16685 16920 17040 20022 20448 22560 25560 26696 30033 33370 33840 34080 40044 50055 51120 53392 60066 66740 67680 80088 100110 102240 106784 120132 133480 150165 160176 200220 240264 266960 300330 320352 400440 480528 533920 600660 800880 961056 1201320 1601760 2402640 4805280