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1218848 = 2541929
BaseRepresentation
bin100101001100100100000
32021220221112
410221210200
5303000343
642042452
713234331
oct4514440
92256845
101218848
11762814
124a9428
13338a17
1423a288
15191218
hex129920

1218848 has 24 divisors (see below), whose sum is σ = 2460780. Its totient is φ = 593920.

The previous prime is 1218829. The next prime is 1218853. The reversal of 1218848 is 8488121.

It can be written as a sum of positive squares in 2 ways, for example, as 824464 + 394384 = 908^2 + 628^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nude number because it is divisible by every one of its digits.

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 3 ways as a sum of consecutive naturals, for example, 848 + ... + 1776.

21218848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1218848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230390).

1218848 is an abundant number, since it is smaller than the sum of its proper divisors (1241932).

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

1218848 is an equidigital number, since it uses as much as digits as its factorization.

1218848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 972 counting only the distinct ones).

The product of its digits is 4096, while the sum is 32.

The square root of 1218848 is about 1104.0144926585. The cubic root of 1218848 is about 106.8193300122.

Subtracting from 1218848 its sum of digits (32), we obtain a square (1218816 = 11042).

The spelling of 1218848 in words is "one million, two hundred eighteen thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 929 1312 1858 3716 7432 14864 29728 38089 76178 152356 304712 609424 1218848