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4803840 = 28335139
BaseRepresentation
bin10010010100110100000000
3100001001122000
4102110310000
52212210330
6250544000
755555236
oct22246400
910031560
104803840
112791218
121738000
13cc2712
148d0956
1564d560
hex494d00

4803840 has 144 divisors (see below), whose sum is σ = 17169600. Its totient is φ = 1271808.

The previous prime is 4803797. The next prime is 4803857. The reversal of 4803840 is 483084.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34491 + ... + 34629.

Almost surely, 24803840 is an apocalyptic number.

4803840 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 4803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8584800).

4803840 is an abundant number, since it is smaller than the sum of its proper divisors (12365760).

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

4803840 is a wasteful number, since it uses less digits than its factorization.

4803840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4803840 is about 2191.7664109115. The cubic root of 4803840 is about 168.7315041457.

The spelling of 4803840 in words is "four million, eight hundred three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 139 144 160 180 192 216 240 256 270 278 288 320 360 384 417 432 480 540 556 576 640 695 720 768 834 864 960 1080 1112 1152 1251 1280 1390 1440 1668 1728 1920 2085 2160 2224 2304 2502 2780 2880 3336 3456 3753 3840 4170 4320 4448 5004 5560 5760 6255 6672 6912 7506 8340 8640 8896 10008 11120 11520 12510 13344 15012 16680 17280 17792 18765 20016 22240 25020 26688 30024 33360 34560 35584 37530 40032 44480 50040 53376 60048 66720 75060 80064 88960 100080 106752 120096 133440 150120 160128 177920 200160 240192 266880 300240 320256 400320 480384 533760 600480 800640 960768 1200960 1601280 2401920 4803840