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144589050 = 23452191879
BaseRepresentation
bin10001001111001…
…00000011111010
3101002001212220000
420213210003322
5244003322200
622203013430
73403662264
oct1047440372
9332055800
10144589050
1174686991
124050a276
1323c56068
14152bab34
15ca61300
hex89e40fa

144589050 has 120 divisors (see below), whose sum is σ = 423112800. Its totient is φ = 36508320.

The previous prime is 144589019. The next prime is 144589079. The reversal of 144589050 is 50985441.

It is a super-3 number, since 3×1445890503 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144588996 and 144589014.

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 59 ways as a sum of consecutive naturals, for example, 76011 + ... + 77889.

It is an arithmetic number, because the mean of its divisors is an integer number (3525940).

Almost surely, 2144589050 is an apocalyptic number.

144589050 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 144589050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211556400).

144589050 is an abundant number, since it is smaller than the sum of its proper divisors (278523750).

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

144589050 is a wasteful number, since it uses less digits than its factorization.

144589050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 144589050 is about 12024.5187013868. The cubic root of 144589050 is about 524.8620045476.

The spelling of 144589050 in words is "one hundred forty-four million, five hundred eighty-nine thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 50 54 57 75 81 90 95 114 135 150 162 171 190 225 270 285 342 405 450 475 513 570 675 810 855 950 1026 1350 1425 1539 1710 1879 2025 2565 2850 3078 3758 4050 4275 5130 5637 7695 8550 9395 11274 12825 15390 16911 18790 25650 28185 33822 35701 38475 46975 50733 56370 71402 76950 84555 93950 101466 107103 140925 152199 169110 178505 214206 253665 281850 304398 321309 357010 422775 507330 535515 642618 760995 845550 892525 963927 1071030 1268325 1521990 1606545 1785050 1927854 2536650 2677575 2891781 3213090 3804975 4819635 5355150 5783562 7609950 8032725 9639270 14458905 16065450 24098175 28917810 48196350 72294525 144589050