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144548064 = 253529641
BaseRepresentation
bin10001001110110…
…10000011100000
3101001222210200000
420213122003200
5244001014224
622202100000
73403431633
oct1047320340
9331883600
10144548064
1174659111
12404aa600
1323c404cb
14152a9c1a
15ca540c9
hex89da0e0

144548064 has 144 divisors (see below), whose sum is σ = 441670320. Its totient is φ = 46448640.

The previous prime is 144548057. The next prime is 144548081. The reversal of 144548064 is 460845441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1445480642 = 41788285612296192, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225184 + ... + 225824.

It is an arithmetic number, because the mean of its divisors is an integer number (3067155).

Almost surely, 2144548064 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 144548064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220835160).

144548064 is an abundant number, since it is smaller than the sum of its proper divisors (297122256).

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

144548064 is an equidigital number, since it uses as much as digits as its factorization.

144548064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 144548064 is about 12022.8143127971. The cubic root of 144548064 is about 524.8124064462.

The spelling of 144548064 in words is "one hundred forty-four million, five hundred forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 243 261 288 324 348 432 464 486 522 641 648 696 783 864 928 972 1044 1282 1296 1392 1566 1923 1944 2088 2349 2564 2592 2784 3132 3846 3888 4176 4698 5128 5769 6264 7047 7692 7776 8352 9396 10256 11538 12528 14094 15384 17307 18589 18792 20512 23076 25056 28188 30768 34614 37178 37584 46152 51921 55767 56376 61536 69228 74356 75168 92304 103842 111534 112752 138456 148712 155763 167301 184608 207684 223068 225504 276912 297424 311526 334602 415368 446136 501903 553824 594848 623052 669204 830736 892272 1003806 1246104 1338408 1505709 1661472 1784544 2007612 2492208 2676816 3011418 4015224 4517127 4984416 5353632 6022836 8030448 9034254 12045672 16060896 18068508 24091344 36137016 48182688 72274032 144548064