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1449288852 = 22311109263383
BaseRepresentation
bin101011001100010…
…0110010010010100
310202000002111112220
41112120212102110
510432004220402
6355451142340
750625515634
oct12630462224
93660074486
101449288852
116840a4190
123454449b0
131a134828b
14da6a26c4
158737ddbc
hex56626494

1449288852 has 96 divisors (see below), whose sum is σ = 3746856960. Its totient is φ = 432362880.

The previous prime is 1449288847. The next prime is 1449288871. The reversal of 1449288852 is 2588829441.

It is a junction number, because it is equal to n+sod(n) for n = 1449288795 and 1449288804.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3783853 + ... + 3784235.

It is an arithmetic number, because the mean of its divisors is an integer number (39029760).

Almost surely, 21449288852 is an apocalyptic number.

1449288852 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 1449288852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873428480).

1449288852 is an abundant number, since it is smaller than the sum of its proper divisors (2297568108).

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

1449288852 is a wasteful number, since it uses less digits than its factorization.

1449288852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 771 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 51.

The square root of 1449288852 is about 38069.5265533996. The cubic root of 1449288852 is about 1131.6661280689. Note that the first 3 decimals are identical.

The spelling of 1449288852 in words is "one billion, four hundred forty-nine million, two hundred eighty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 132 218 263 327 383 436 526 654 766 789 1052 1149 1199 1308 1532 1578 2298 2398 2893 3156 3597 4213 4596 4796 5786 7194 8426 8679 11572 12639 14388 16852 17358 25278 28667 34716 41747 50556 57334 83494 86001 100729 114668 125241 166988 172002 201458 250482 302187 315337 344004 402916 459217 500964 604374 630674 918434 946011 1108019 1208748 1261348 1377651 1836868 1892022 2216038 2755302 3324057 3784044 4432076 5510604 6648114 10979461 13296228 21958922 32938383 43917844 65876766 120774071 131753532 241548142 362322213 483096284 724644426 1449288852