Search a number
-
+
1852803072 = 211361773
BaseRepresentation
bin110111001101111…
…1000100000000000
311210010101011000000
41232123320200000
512243304144242
6503504000000
763625365141
oct15633704000
94703334000
101852803072
1187094a40a
12438600000
13236b1a2a3
141380ddac8
15ac9d8a4c
hex6e6f8800

1852803072 has 336 divisors, whose sum is σ = 5961812220. Its totient is φ = 573308928.

The previous prime is 1852803053. The next prime is 1852803077. The reversal of 1852803072 is 2703082581.

It can be written as a sum of positive squares in 2 ways, for example, as 1792336896 + 60466176 = 42336^2 + 7776^2 .

It is a super-2 number, since 2×18528030722 = 6865758447225274368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1852803077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 25380828 + ... + 25380900.

Almost surely, 21852803072 is an apocalyptic number.

1852803072 is a gapful number since it is divisible by the number (12) 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 1852803072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980906110).

1852803072 is an abundant number, since it is smaller than the sum of its proper divisors (4109009148).

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

1852803072 is an frugal number, since it uses more digits than its factorization.

1852803072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1852803072 is about 43044.1990516725. The cubic root of 1852803072 is about 1228.2207230558.

The spelling of 1852803072 in words is "one billion, eight hundred fifty-two million, eight hundred three thousand, seventy-two".