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4880600 = 2352231061
BaseRepresentation
bin10010100111100011011000
3100011221220222
4102213203120
52222134400
6252335212
756325104
oct22474330
910157828
104880600
11283395a
121774508
13101b63a
14910904
15666185
hex4a78d8

4880600 has 48 divisors (see below), whose sum is σ = 11851920. Its totient is φ = 1865600.

The previous prime is 4880593. The next prime is 4880639. The reversal of 4880600 is 60884.

It is a self number, because there is not a number n which added to its sum of digits gives 4880600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4070 + ... + 5130.

It is an arithmetic number, because the mean of its divisors is an integer number (246915).

Almost surely, 24880600 is an apocalyptic number.

4880600 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 4880600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5925960).

4880600 is an abundant number, since it is smaller than the sum of its proper divisors (6971320).

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

4880600 is a wasteful number, since it uses less digits than its factorization.

4880600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 4880600 is about 2209.2080028825. The cubic root of 4880600 is about 169.6254730636.

The spelling of 4880600 in words is "four million, eight hundred eighty thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1061 1150 2122 2300 4244 4600 5305 8488 10610 21220 24403 26525 42440 48806 53050 97612 106100 122015 195224 212200 244030 488060 610075 976120 1220150 2440300 4880600