Search a number
-
+
3048000 = 26353127
BaseRepresentation
bin1011101000001001000000
312201212001220
423220021000
51240014000
6145155040
734623204
oct13501100
95655056
103048000
1117a200a
12102ba80
13829467
14594b04
154031a0
hex2e8240

3048000 has 112 divisors (see below), whose sum is σ = 10143744. Its totient is φ = 806400.

The previous prime is 3047971. The next prime is 3048011. The reversal of 3048000 is 8403.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 23937 + ... + 24063.

Almost surely, 23048000 is an apocalyptic number.

3048000 is a gapful number since it is divisible by the number (30) 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 3048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071872).

3048000 is an abundant number, since it is smaller than the sum of its proper divisors (7095744).

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

3048000 is a wasteful number, since it uses less digits than its factorization.

3048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3048000 is about 1745.8522274236. The cubic root of 3048000 is about 144.9900904841.

It can be divided in two parts, 30 and 48000, that multiplied together give a square (1440000 = 12002).

The spelling of 3048000 in words is "three million, 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 96 100 120 125 127 150 160 192 200 240 250 254 300 320 375 381 400 480 500 508 600 635 750 762 800 960 1000 1016 1200 1270 1500 1524 1600 1905 2000 2032 2400 2540 3000 3048 3175 3810 4000 4064 4800 5080 6000 6096 6350 7620 8000 8128 9525 10160 12000 12192 12700 15240 15875 19050 20320 24000 24384 25400 30480 31750 38100 40640 47625 50800 60960 63500 76200 95250 101600 121920 127000 152400 190500 203200 254000 304800 381000 508000 609600 762000 1016000 1524000 3048000