Search a number
-
+
4800000 = 29355
BaseRepresentation
bin10010010011111000000000
3100000212100210
4102103320000
52212100000
6250514120
755541112
oct22237000
910025323
104800000
112789347
121735940
13cc0a4a
148cd3b2
1564c350
hex493e00

4800000 has 120 divisors (see below), whose sum is σ = 15983352. Its totient is φ = 1280000.

The previous prime is 4799999. The next prime is 4800007. The reversal of 4800000 is 84.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4800007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 959998 + ... + 960002.

Almost surely, 24800000 is an apocalyptic number.

4800000 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 4800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7991676).

4800000 is an abundant number, since it is smaller than the sum of its proper divisors (11183352).

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

4800000 is an frugal number, since it uses more digits than its factorization.

4800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4800000 is about 2190.8902300207. The cubic root of 4800000 is about 168.6865330603.

Adding to 4800000 its reverse (84), we get a palindrome (4800084).

It can be divided in two parts, 4 and 800000, that multiplied together give a 5-th power (3200000 = 205).

The spelling of 4800000 in words is "four million, eight hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 512 600 625 640 750 768 800 960 1000 1200 1250 1280 1500 1536 1600 1875 1920 2000 2400 2500 2560 3000 3125 3200 3750 3840 4000 4800 5000 6000 6250 6400 7500 7680 8000 9375 9600 10000 12000 12500 12800 15000 16000 18750 19200 20000 24000 25000 30000 32000 37500 38400 40000 48000 50000 60000 64000 75000 80000 96000 100000 120000 150000 160000 192000 200000 240000 300000 320000 400000 480000 600000 800000 960000 1200000 1600000 2400000 4800000