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4848000 = 27353101
BaseRepresentation
bin10010011111100110000000
3100010022012120
4102133212000
52220114000
6251524240
756131053
oct22374600
910108176
104848000
112811413
121759680
131009851
14902a9a
1565b6a0
hex49f980

4848000 has 128 divisors (see below), whose sum is σ = 16230240. Its totient is φ = 1280000.

The previous prime is 4847989. The next prime is 4848001. The reversal of 4848000 is 8484.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (4848001) 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, 47950 + ... + 48050.

Almost surely, 24848000 is an apocalyptic number.

4848000 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 4848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8115120).

4848000 is an abundant number, since it is smaller than the sum of its proper divisors (11382240).

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

4848000 is a wasteful number, since it uses less digits than its factorization.

4848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 4848000 is about 2201.8174311237. The cubic root of 4848000 is about 169.2469575529.

The spelling of 4848000 in words is "four million, eight hundred forty-eight 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 96 100 101 120 125 128 150 160 192 200 202 240 250 300 303 320 375 384 400 404 480 500 505 600 606 640 750 800 808 960 1000 1010 1200 1212 1500 1515 1600 1616 1920 2000 2020 2400 2424 2525 3000 3030 3200 3232 4000 4040 4800 4848 5050 6000 6060 6464 7575 8000 8080 9600 9696 10100 12000 12120 12625 12928 15150 16000 16160 19392 20200 24000 24240 25250 30300 32320 37875 38784 40400 48000 48480 50500 60600 64640 75750 80800 96960 101000 121200 151500 161600 193920 202000 242400 303000 323200 404000 484800 606000 808000 969600 1212000 1616000 2424000 4848000