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144486272 = 27747273
BaseRepresentation
bin10001001110010…
…10111110000000
3101001212122220102
420213022332000
5243442030042
622200501532
73403053530
oct1047127600
9331778812
10144486272
1174616747
124047a8a8
1323c1b348
14152914c0
15ca40b32
hex89caf80

144486272 has 96 divisors (see below), whose sum is σ = 340716720. Its totient is φ = 59774976.

The previous prime is 144486263. The next prime is 144486283. The reversal of 144486272 is 272684441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1979228 + ... + 1979300.

Almost surely, 2144486272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144486272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170358360).

144486272 is an abundant number, since it is smaller than the sum of its proper divisors (196230448).

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

144486272 is an frugal number, since it uses more digits than its factorization.

144486272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 129 counting only the distinct ones).

The product of its digits is 86016, while the sum is 38.

The square root of 144486272 is about 12020.2442570856. The cubic root of 144486272 is about 524.7376128000.

The spelling of 144486272 in words is "one hundred forty-four million, four hundred eighty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 73 94 112 128 146 188 224 292 329 376 448 511 584 658 752 896 1022 1168 1316 1504 2044 2209 2336 2632 3008 3431 4088 4418 4672 5264 6016 6862 8176 8836 9344 10528 13724 15463 16352 17672 21056 24017 27448 30926 32704 35344 42112 48034 54896 61852 65408 70688 96068 109792 123704 141376 161257 192136 219584 247408 282752 322514 384272 439168 494816 645028 768544 989632 1128799 1290056 1537088 1979264 2257598 2580112 3074176 4515196 5160224 9030392 10320448 18060784 20640896 36121568 72243136 144486272