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1809000468 = 2232114568183
BaseRepresentation
bin110101111010011…
…0010100000010100
311200001221202010100
41223310302200110
512201101003333
6455301054100
762554151562
oct15364624024
94601852110
101809000468
11849151910
124259b7330
1322aa219a2
1413237aa32
15a8c35213
hex6bd32814

1809000468 has 36 divisors (see below), whose sum is σ = 4988456928. Its totient is φ = 548181840.

The previous prime is 1809000467. The next prime is 1809000493. The reversal of 1809000468 is 8640009081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1809000461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2283696 + ... + 2284487.

It is an arithmetic number, because the mean of its divisors is an integer number (138568248).

Almost surely, 21809000468 is an apocalyptic number.

1809000468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1809000468 is an abundant number, since it is smaller than the sum of its proper divisors (3179456460).

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

1809000468 is a wasteful number, since it uses less digits than its factorization.

1809000468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4568204 (or 4568199 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1809000468 is about 42532.3461379689. The cubic root of 1809000468 is about 1218.4645352086.

The spelling of 1809000468 in words is "one billion, eight hundred nine million, four hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 4568183 9136366 13704549 18272732 27409098 41113647 50250013 54818196 82227294 100500026 150750039 164454588 201000052 301500078 452250117 603000156 904500234 1809000468