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144372492 = 2232111931889
BaseRepresentation
bin10001001101011…
…11001100001100
3101001122212211100
420212233030030
5243424404432
622154223100
73402101025
oct1046571414
9331585740
10144372492
1174549210
1240424a90
1323bab614
1415261c4c
15ca1c07c
hex89af30c

144372492 has 72 divisors (see below), whose sum is σ = 400392720. Its totient is φ = 43499520.

The previous prime is 144372467. The next prime is 144372499. The reversal of 144372492 is 294273441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (144372499) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 75484 + ... + 77372.

It is an arithmetic number, because the mean of its divisors is an integer number (5561010).

Almost surely, 2144372492 is an apocalyptic number.

144372492 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 144372492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200196360).

144372492 is an abundant number, since it is smaller than the sum of its proper divisors (256020228).

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

144372492 is a wasteful number, since it uses less digits than its factorization.

144372492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2098 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 144372492 is about 12015.5104760472. The cubic root of 144372492 is about 524.5998365631.

Adding to 144372492 its sum of digits (36), we get a triangular number (144372528 = T16992).

It can be divided in two parts, 14437249 and 2, that added together give a triangular number (14437251 = T5373).

The spelling of 144372492 in words is "one hundred forty-four million, three hundred seventy-two thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 193 198 386 396 579 772 1158 1737 1889 2123 2316 3474 3778 4246 5667 6369 6948 7556 8492 11334 12738 17001 19107 20779 22668 25476 34002 38214 41558 62337 68004 76428 83116 124674 187011 249348 364577 374022 729154 748044 1093731 1458308 2187462 3281193 4010347 4374924 6562386 8020694 12031041 13124772 16041388 24062082 36093123 48124164 72186246 144372492