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1444828350 = 235274573011
BaseRepresentation
bin101011000011110…
…0101010010111110
310201200200212220010
41112013211102332
510424334001400
6355211404050
750542560360
oct12607452276
93650625803
101444828350
11681627a19
12343a53626
131a0445c24
14d9c60d30
1586c9c450
hex561e54be

1444828350 has 96 divisors (see below), whose sum is σ = 4105380096. Its totient is φ = 329414400.

The previous prime is 1444828339. The next prime is 1444828367. The reversal of 1444828350 is 538284441.

It is a junction number, because it is equal to n+sod(n) for n = 1444828299 and 1444828308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 478345 + ... + 481355.

It is an arithmetic number, because the mean of its divisors is an integer number (42764376).

Almost surely, 21444828350 is an apocalyptic number.

1444828350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444828350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052690048).

1444828350 is an abundant number, since it is smaller than the sum of its proper divisors (2660551746).

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

1444828350 is a wasteful number, since it uses less digits than its factorization.

1444828350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 1444828350 is about 38010.8977794527. The cubic root of 1444828350 is about 1130.5039519988.

The spelling of 1444828350 in words is "one billion, four hundred forty-four million, eight hundred twenty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 457 525 914 1050 1371 2285 2742 3011 3199 4570 6022 6398 6855 9033 9597 11425 13710 15055 15995 18066 19194 21077 22850 30110 31990 34275 42154 45165 47985 63231 68550 75275 79975 90330 95970 105385 126462 150550 159950 210770 225825 239925 316155 451650 479850 526925 632310 1053850 1376027 1580775 2752054 3161550 4128081 6880135 8256162 9632189 13760270 19264378 20640405 28896567 34400675 41280810 48160945 57793134 68801350 96321890 103202025 144482835 206404050 240804725 288965670 481609450 722414175 1444828350