Search a number
-
+
144247392 = 25341929101
BaseRepresentation
bin10001001100100…
…00101001100000
3101001102112020000
420212100221200
5243411404032
622151420000
73401040222
oct1046205140
9331375200
10144247392
1174473223
1240384600
1323b666b3
141522c412
15c9e4e7c
hex8990a60

144247392 has 240 divisors, whose sum is σ = 466527600. Its totient is φ = 43545600.

The previous prime is 144247391. The next prime is 144247393. The reversal of 144247392 is 293742441.

It is an interprime number because it is at equal distance from previous prime (144247391) and next prime (144247393).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144247391) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1428142 + ... + 1428242.

It is an arithmetic number, because the mean of its divisors is an integer number (1943865).

Almost surely, 2144247392 is an apocalyptic number.

144247392 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 144247392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233263800).

144247392 is an abundant number, since it is smaller than the sum of its proper divisors (322280208).

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

144247392 is a wasteful number, since it uses less digits than its factorization.

144247392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 144247392 is about 12010.3035765130. The cubic root of 144247392 is about 524.4482693604.

The spelling of 144247392 in words is "one hundred forty-four million, two hundred forty-seven thousand, three hundred ninety-two".