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4876800 = 29352127
BaseRepresentation
bin10010100110101000000000
3100011202201020
4102212220000
52222024200
6252305440
756311035
oct22465000
910152636
104876800
112831015
121772280
1310199a6
1490d38c
15664ea0
hex4a6a00

4876800 has 120 divisors (see below), whose sum is σ = 16237056. Its totient is φ = 1290240.

The previous prime is 4876799. The next prime is 4876829. The reversal of 4876800 is 86784.

It is a tau number, because it is divible by the number of its divisors (120).

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 11 ways as a sum of consecutive naturals, for example, 38337 + ... + 38463.

Almost surely, 24876800 is an apocalyptic number.

4876800 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 4876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8118528).

4876800 is an abundant number, since it is smaller than the sum of its proper divisors (11360256).

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

4876800 is a wasteful number, since it uses less digits than its factorization.

4876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 4876800 is about 2208.3477986948. The cubic root of 4876800 is about 169.5814385762.

It can be divided in two parts, 48 and 76800, that multiplied together give a square (3686400 = 19202).

The spelling of 4876800 in words is "four million, eight hundred seventy-six thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 127 128 150 160 192 200 240 254 256 300 320 381 384 400 480 508 512 600 635 640 762 768 800 960 1016 1200 1270 1280 1524 1536 1600 1905 1920 2032 2400 2540 2560 3048 3175 3200 3810 3840 4064 4800 5080 6096 6350 6400 7620 7680 8128 9525 9600 10160 12192 12700 12800 15240 16256 19050 19200 20320 24384 25400 30480 32512 38100 38400 40640 48768 50800 60960 65024 76200 81280 97536 101600 121920 152400 162560 195072 203200 243840 304800 325120 406400 487680 609600 812800 975360 1219200 1625600 2438400 4876800