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144868824 = 233574521
BaseRepresentation
bin10001010001010…
…00010111011000
3101002121002200000
420220220113120
5244041300244
622213013000
73406236042
oct1050502730
9332532600
10144868824
1174858101
1240624160
13240234c9
1415350a92
15cab9169
hex8a285d8

144868824 has 48 divisors (see below), whose sum is σ = 406890120. Its totient is φ = 48288960.

The previous prime is 144868819. The next prime is 144868837. The reversal of 144868824 is 428868441.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 144868824.

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 11 ways as a sum of consecutive naturals, for example, 35317 + ... + 39204.

Almost surely, 2144868824 is an apocalyptic number.

It is an amenable number.

144868824 is an abundant number, since it is smaller than the sum of its proper divisors (262021296).

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

144868824 is an equidigital number, since it uses as much as digits as its factorization.

144868824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74542 (or 74526 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 144868824 is about 12036.1465594267. The cubic root of 144868824 is about 525.2003153960.

The spelling of 144868824 in words is "one hundred forty-four million, eight hundred sixty-eight thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 74521 149042 223563 298084 447126 596168 670689 894252 1341378 1788504 2012067 2682756 4024134 5365512 6036201 8048268 12072402 16096536 18108603 24144804 36217206 48289608 72434412 144868824