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900840468 = 2231135319333
BaseRepresentation
bin110101101100011…
…011110000010100
32022210002102210210
4311230123300110
53321103343333
6225220045420
731216006023
oct6554336024
92283072723
10900840468
11422556860
12211833870
1311482c0c8
14878d88ba
1554145a63
hex35b1bc14

900840468 has 48 divisors (see below), whose sum is σ = 2299663296. Its totient is φ = 272194560.

The previous prime is 900840463. The next prime is 900840469. The reversal of 900840468 is 864048009.

900840468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900840461) 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, 36930 + ... + 56262.

It is an arithmetic number, because the mean of its divisors is an integer number (47909652).

Almost surely, 2900840468 is an apocalyptic number.

It is an amenable number.

900840468 is an abundant number, since it is smaller than the sum of its proper divisors (1398822828).

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

900840468 is a wasteful number, since it uses less digits than its factorization.

900840468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19704 (or 19702 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 900840468 is about 30014.0045312184. The cubic root of 900840468 is about 965.7898329268.

The spelling of 900840468 in words is "nine hundred million, eight hundred forty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 353 706 1059 1412 2118 3883 4236 7766 11649 15532 19333 23298 38666 46596 57999 77332 115998 212663 231996 425326 637989 850652 1275978 2551956 6824549 13649098 20473647 27298196 40947294 75070039 81894588 150140078 225210117 300280156 450420234 900840468