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144496672 = 25192310333
BaseRepresentation
bin10001001110011…
…01100000100000
3101001220012011121
420213031200200
5243442343142
622201022024
73403126045
oct1047154040
9331805147
10144496672
1174623541
1240484914
1323c22cb8
14152951cc
15ca43c67
hex89cd820

144496672 has 48 divisors (see below), whose sum is σ = 312500160. Its totient is φ = 65463552.

The previous prime is 144496661. The next prime is 144496679. The reversal of 144496672 is 276694441.

It is not an unprimeable number, because it can be changed into a prime (144496679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8818 + ... + 19150.

It is an arithmetic number, because the mean of its divisors is an integer number (6510420).

Almost surely, 2144496672 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 144496672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156250080).

144496672 is an abundant number, since it is smaller than the sum of its proper divisors (168003488).

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

144496672 is a wasteful number, since it uses less digits than its factorization.

144496672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10385 (or 10377 counting only the distinct ones).

The product of its digits is 290304, while the sum is 43.

The square root of 144496672 is about 12020.6768528232. The cubic root of 144496672 is about 524.7502025548.

The spelling of 144496672 in words is "one hundred forty-four million, four hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 19 23 32 38 46 76 92 152 184 304 368 437 608 736 874 1748 3496 6992 10333 13984 20666 41332 82664 165328 196327 237659 330656 392654 475318 785308 950636 1570616 1901272 3141232 3802544 4515521 6282464 7605088 9031042 18062084 36124168 72248336 144496672