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144848925 = 33521317971
BaseRepresentation
bin10001010001000…
…11100000011101
3101002120002101000
420220203200131
5244040131200
622212340513
73406124034
oct1050434035
9332502330
10144848925
1174844161
1240614739
1324017430
141534771b
15cab3300
hex8a2381d

144848925 has 96 divisors (see below), whose sum is σ = 303730560. Its totient is φ = 67046400.

The previous prime is 144848911. The next prime is 144848933. The reversal of 144848925 is 529848441.

144848925 is a `hidden beast` number, since 144 + 8 + 489 + 25 = 666.

It is not a de Polignac number, because 144848925 - 219 = 144324637 is a prime.

It is a super-2 number, since 2×1448489252 = 41962422147311250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

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 95 ways as a sum of consecutive naturals, for example, 148690 + ... + 149660.

It is an arithmetic number, because the mean of its divisors is an integer number (3163860).

Almost surely, 2144848925 is an apocalyptic number.

144848925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144848925 is an abundant number, since it is smaller than the sum of its proper divisors (158881635).

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

144848925 is a wasteful number, since it uses less digits than its factorization.

144848925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1009 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 144848925 is about 12035.3198960393. The cubic root of 144848925 is about 525.1762673427.

It can be divided in two parts, 14484 and 8925, that added together give a square (23409 = 1532).

The spelling of 144848925 in words is "one hundred forty-four million, eight hundred forty-eight thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 27 39 45 51 65 75 85 117 135 153 195 221 225 255 325 351 425 459 585 663 675 765 971 975 1105 1275 1755 1989 2295 2913 2925 3315 3825 4855 5525 5967 8739 8775 9945 11475 12623 14565 16507 16575 24275 26217 29835 37869 43695 49521 49725 63115 72825 82535 113607 131085 148563 149175 189345 214591 218475 247605 315575 340821 412675 445689 568035 643773 655425 742815 946725 1072955 1238025 1704105 1931319 2228445 2840175 3218865 3714075 5364775 5793957 8520525 9656595 11142225 16094325 28969785 48282975 144848925