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144869850 = 23352239449
BaseRepresentation
bin10001010001010…
…00100111011010
3101002121011002000
420220220213122
5244041313400
622213021430
73406242036
oct1050504732
9332534060
10144869850
1174858954
1240624876
1324023b08
14153511c6
15cab9600
hex8a289da

144869850 has 96 divisors (see below), whose sum is σ = 401760000. Its totient is φ = 38384640.

The previous prime is 144869833. The next prime is 144869867. The reversal of 144869850 is 58968441.

It is an interprime number because it is at equal distance from previous prime (144869833) and next prime (144869867).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 144869796 and 144869805.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322426 + ... + 322874.

It is an arithmetic number, because the mean of its divisors is an integer number (4185000).

Almost surely, 2144869850 is an apocalyptic number.

144869850 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 144869850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200880000).

144869850 is an abundant number, since it is smaller than the sum of its proper divisors (256890150).

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

144869850 is a wasteful number, since it uses less digits than its factorization.

144869850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 144869850 is about 12036.1891809659. The cubic root of 144869850 is about 525.2015552631.

It can be divided in two parts, 14486 and 9850, that added together give a square (24336 = 1562).

The spelling of 144869850 in words is "one hundred forty-four million, eight hundred sixty-nine thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 239 270 449 450 478 675 717 898 1195 1347 1350 1434 2151 2245 2390 2694 3585 4041 4302 4490 5975 6453 6735 7170 8082 10755 11225 11950 12123 12906 13470 17925 20205 21510 22450 24246 32265 33675 35850 40410 53775 60615 64530 67350 101025 107311 107550 121230 161325 202050 214622 303075 321933 322650 536555 606150 643866 965799 1073110 1609665 1931598 2682775 2897397 3219330 4828995 5365550 5794794 8048325 9657990 14486985 16096650 24144975 28973970 48289950 72434925 144869850