Search a number
-
+
4012848 = 243371327
BaseRepresentation
bin1111010011101100110000
321112212121000
433103230300
52011402343
6222002000
746052160
oct17235460
97485530
104012848
1122a0a04
121416300
13aa6688
147665a0
15543ed3
hex3d3b30

4012848 has 80 divisors (see below), whose sum is σ = 13173760. Its totient is φ = 1145664.

The previous prime is 4012847. The next prime is 4012861. The reversal of 4012848 is 8482104.

4012848 is digitally balanced in base 5 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40128482 = 32205898142208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

4012848 is strictly pandigital in base 8.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (4012847) 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, 2361 + ... + 3687.

It is an arithmetic number, because the mean of its divisors is an integer number (164672).

Almost surely, 24012848 is an apocalyptic number.

4012848 is a gapful number since it is divisible by the number (48) 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 4012848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586880).

4012848 is an abundant number, since it is smaller than the sum of its proper divisors (9160912).

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

4012848 is a wasteful number, since it uses less digits than its factorization.

4012848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4012848 is about 2003.2094248980. The cubic root of 4012848 is about 158.9098812920.

It can be divided in two parts, 401 and 2848, that added together give a square (3249 = 572).

The spelling of 4012848 in words is "four million, twelve thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1327 1512 2654 3024 3981 5308 7962 9289 10616 11943 15924 18578 21232 23886 27867 31848 35829 37156 47772 55734 63696 71658 74312 83601 95544 111468 143316 148624 167202 191088 222936 250803 286632 334404 445872 501606 573264 668808 1003212 1337616 2006424 4012848