Search a number
-
+
1828290900 = 223526094303
BaseRepresentation
bin110110011111001…
…1000000101010100
311201102020210121210
41230332120011110
512221020302100
6501230341420
763210134112
oct15476300524
94642223553
101828290900
11859028017
1243035a870
13231a17147
14134b5cab2
15aa795c50
hex6cf98154

1828290900 has 36 divisors (see below), whose sum is σ = 5289855872. Its totient is φ = 487544160.

The previous prime is 1828290881. The next prime is 1828290923. The reversal of 1828290900 is 90928281.

It is a super-3 number, since 3×18282909003 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3046852 + ... + 3047451.

Almost surely, 21828290900 is an apocalyptic number.

1828290900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1828290900 is an abundant number, since it is smaller than the sum of its proper divisors (3461564972).

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

1828290900 is a wasteful number, since it uses less digits than its factorization.

1828290900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6094320 (or 6094313 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 1828290900 is about 42758.5184495441. The cubic root of 1828290900 is about 1222.7802979710.

The spelling of 1828290900 in words is "one billion, eight hundred twenty-eight million, two hundred ninety thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 6094303 12188606 18282909 24377212 30471515 36565818 60943030 73131636 91414545 121886060 152357575 182829090 304715150 365658180 457072725 609430300 914145450 1828290900