Search a number
-
+
1836048 = 243291319
BaseRepresentation
bin111000000010000010000
310110021120210
413000100100
5432223143
6103204120
721414624
oct7002020
93407523
101836048
1110444a5
12746640
134c3926
1435b184
15264033
hex1c0410

1836048 has 40 divisors (see below), whose sum is σ = 4910400. Its totient is φ = 590464.

The previous prime is 1836047. The next prime is 1836053. The reversal of 1836048 is 8406381.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1836041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 733 + ... + 2051.

It is an arithmetic number, because the mean of its divisors is an integer number (122760).

21836048 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 1836048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455200).

1836048 is an abundant number, since it is smaller than the sum of its proper divisors (3074352).

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

1836048 is a wasteful number, since it uses less digits than its factorization.

1836048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1836048 is about 1355.0084870583. The cubic root of 1836048 is about 122.4507201476.

The spelling of 1836048 in words is "one million, eight hundred thirty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1319 1392 2638 3957 5276 7914 10552 15828 21104 31656 38251 63312 76502 114753 153004 229506 306008 459012 612016 918024 1836048