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144868392 = 23331275281
BaseRepresentation
bin10001010001010…
…00010000101000
3101002121002002000
420220220100220
5244041242032
622213011000
73406234554
oct1050502050
9332532060
10144868392
1174857849
1240623a60
1324023256
1415350864
15cab8e7c
hex8a28428

144868392 has 64 divisors (see below), whose sum is σ = 405657600. Its totient is φ = 47900160.

The previous prime is 144868391. The next prime is 144868393. The reversal of 144868392 is 293868441.

It is a happy number.

144868392 is a `hidden beast` number, since 1 + 4 + 486 + 83 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (144868391) and next prime (144868393).

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

It is not an unprimeable number, because it can be changed into a prime (144868391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24792 + ... + 30072.

It is an arithmetic number, because the mean of its divisors is an integer number (6338400).

Almost surely, 2144868392 is an apocalyptic number.

144868392 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 144868392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202828800).

144868392 is an abundant number, since it is smaller than the sum of its proper divisors (260789208).

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

144868392 is a wasteful number, since it uses less digits than its factorization.

144868392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5423 (or 5413 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 144868392 is about 12036.1286134704. The cubic root of 144868392 is about 525.1997933450.

The spelling of 144868392 in words is "one hundred forty-four million, eight hundred sixty-eight thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 127 216 254 381 508 762 1016 1143 1524 2286 3048 3429 4572 5281 6858 9144 10562 13716 15843 21124 27432 31686 42248 47529 63372 95058 126744 142587 190116 285174 380232 570348 670687 1140696 1341374 2012061 2682748 4024122 5365496 6036183 8048244 12072366 16096488 18108549 24144732 36217098 48289464 72434196 144868392