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144930528 = 2532503231
BaseRepresentation
bin10001010001101…
…11011011100000
3101002201020022100
420220313123200
5244100234103
622214210400
73406613661
oct1050673340
9332636270
10144930528
117489a4a6
1240653a00
1324045612
1415369368
15cacc5a3
hex8a376e0

144930528 has 36 divisors (see below), whose sum is σ = 412147008. Its totient is φ = 48310080.

The previous prime is 144930493. The next prime is 144930547. The reversal of 144930528 is 825039441.

144930528 is a `hidden beast` number, since 1 + 44 + 93 + 0 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 144930492 and 144930501.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 251328 + ... + 251903.

It is an arithmetic number, because the mean of its divisors is an integer number (11448528).

Almost surely, 2144930528 is an apocalyptic number.

144930528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144930528 is an abundant number, since it is smaller than the sum of its proper divisors (267216480).

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

144930528 is a wasteful number, since it uses less digits than its factorization.

144930528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503247 (or 503236 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 144930528 is about 12038.7095653978. The cubic root of 144930528 is about 525.2748710283.

Adding to 144930528 its reverse (825039441), we get a palindrome (969969969).

The spelling of 144930528 in words is "one hundred forty-four million, nine hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 503231 1006462 1509693 2012924 3019386 4025848 4529079 6038772 8051696 9058158 12077544 16103392 18116316 24155088 36232632 48310176 72465264 144930528