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1450440468 = 2232192697883
BaseRepresentation
bin101011001110011…
…1111011100010100
310202002021000021100
41112130333130110
510432303043333
6355531550100
750641353261
oct12634773424
93662230240
101450440468
11684810434
123458bb330
131a165c4c9
14da8c2268
158750a213
hex5673f714

1450440468 has 72 divisors (see below), whose sum is σ = 3874197600. Its totient is φ = 456273216.

The previous prime is 1450440463. The next prime is 1450440499. The reversal of 1450440468 is 8640440541.

It is a happy number.

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 (1450440463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180055 + ... + 187937.

It is an arithmetic number, because the mean of its divisors is an integer number (53808300).

Almost surely, 21450440468 is an apocalyptic number.

1450440468 is a gapful number since it is divisible by the number (18) 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 1450440468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937098800).

1450440468 is an abundant number, since it is smaller than the sum of its proper divisors (2423757132).

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

1450440468 is a wasteful number, since it uses less digits than its factorization.

1450440468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8181 (or 8176 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 1450440468 is about 38084.6487183484. The cubic root of 1450440468 is about 1131.9657922296.

The spelling of 1450440468 in words is "one billion, four hundred fifty million, four hundred forty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 269 342 538 684 807 1076 1614 2421 3228 4842 5111 7883 9684 10222 15333 15766 20444 23649 30666 31532 45999 47298 61332 70947 91998 94596 141894 149777 183996 283788 299554 449331 599108 898662 1347993 1797324 2120527 2695986 4241054 5391972 6361581 8482108 12723162 19084743 25446324 38169486 40290013 76338972 80580026 120870039 161160052 241740078 362610117 483480156 725220234 1450440468