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4842880 = 27572347
BaseRepresentation
bin10010011110010110000000
3100010001011221
4102132112000
52214433010
6251444424
756110120
oct22362600
910101157
104842880
112808589
121756714
131007413
14900c80
15659dda
hex49e580

4842880 has 128 divisors (see below), whose sum is σ = 14100480. Its totient is φ = 1554432.

The previous prime is 4842869. The next prime is 4842883. The reversal of 4842880 is 882484.

4842880 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4842883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103017 + ... + 103063.

It is an arithmetic number, because the mean of its divisors is an integer number (110160).

Almost surely, 24842880 is an apocalyptic number.

4842880 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 4842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050240).

4842880 is an abundant number, since it is smaller than the sum of its proper divisors (9257600).

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

4842880 is a wasteful number, since it uses less digits than its factorization.

4842880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 4842880 is about 2200.6544481131. The cubic root of 4842880 is about 169.1873556789.

It can be divided in two parts, 484 and 2880, that added together give a square (3364 = 582).

The spelling of 4842880 in words is "four million, eight hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 47 56 64 70 80 92 94 112 115 128 140 160 161 184 188 224 230 235 280 320 322 329 368 376 448 460 470 560 640 644 658 736 752 805 896 920 940 1081 1120 1288 1316 1472 1504 1610 1645 1840 1880 2162 2240 2576 2632 2944 3008 3220 3290 3680 3760 4324 4480 5152 5264 5405 6016 6440 6580 7360 7520 7567 8648 10304 10528 10810 12880 13160 14720 15040 15134 17296 20608 21056 21620 25760 26320 30080 30268 34592 37835 42112 43240 51520 52640 60536 69184 75670 86480 103040 105280 121072 138368 151340 172960 210560 242144 302680 345920 484288 605360 691840 968576 1210720 2421440 4842880