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144026532 = 2233133607
BaseRepresentation
bin10001001010110…
…10101110100100
3101001000022021000
420211122232210
5243332322112
622142553300
73366130266
oct1045325644
9331008230
10144026532
11743322a1
1240298830
1323aba000
14151b1b36
15c99e7dc
hex895aba4

144026532 has 96 divisors (see below), whose sum is σ = 405171200. Its totient is φ = 44242848.

The previous prime is 144026521. The next prime is 144026537. The reversal of 144026532 is 235620441.

144026532 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 2 + 653 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 144026496 and 144026505.

It is not an unprimeable number, because it can be changed into a prime (144026537) 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 31 ways as a sum of consecutive naturals, for example, 236973 + ... + 237579.

Almost surely, 2144026532 is an apocalyptic number.

144026532 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 144026532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202585600).

144026532 is an abundant number, since it is smaller than the sum of its proper divisors (261144668).

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

144026532 is a wasteful number, since it uses less digits than its factorization.

144026532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 144026532 is about 12001.1054490826. The cubic root of 144026532 is about 524.1804683050.

Adding to 144026532 its reverse (235620441), we get a palindrome (379646973).

It can be divided in two parts, 1440 and 26532, that added together give a palindrome (27972).

The spelling of 144026532 in words is "one hundred forty-four million, twenty-six thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 607 676 702 1014 1214 1404 1521 1821 2028 2197 2428 3042 3642 4394 4563 5463 6084 6591 7284 7891 8788 9126 10926 13182 15782 16389 18252 19773 21852 23673 26364 31564 32778 39546 47346 59319 65556 71019 79092 94692 102583 118638 142038 205166 213057 237276 284076 307749 410332 426114 615498 852228 923247 1230996 1333579 1846494 2667158 2769741 3692988 4000737 5334316 5539482 8001474 11078964 12002211 16002948 24004422 36006633 48008844 72013266 144026532