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144792492 = 22313928157
BaseRepresentation
bin10001010000101…
…01101110101100
3101002110012221220
420220111232230
5244031324432
622211223340
73405500355
oct1050255654
9332405856
10144792492
1174805819
12405a7b50
1323cc7840
1415330d2c
15caa172c
hex8a15bac

144792492 has 24 divisors (see below), whose sum is σ = 363837936. Its totient is φ = 44551488.

The previous prime is 144792457. The next prime is 144792493. The reversal of 144792492 is 294297441.

144792492 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1447924923 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (144792493) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 463923 + ... + 464234.

It is an arithmetic number, because the mean of its divisors is an integer number (15159914).

Almost surely, 2144792492 is an apocalyptic number.

144792492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144792492 is an abundant number, since it is smaller than the sum of its proper divisors (219045444).

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

144792492 is a wasteful number, since it uses less digits than its factorization.

144792492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928177 (or 928175 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 144792492 is about 12032.9751931931. The cubic root of 144792492 is about 525.1080557629.

It can be divided in two parts, 1447 and 92492, that added together give a palindrome (93939).

The spelling of 144792492 in words is "one hundred forty-four million, seven hundred ninety-two thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 928157 1856314 2784471 3712628 5568942 11137884 12066041 24132082 36198123 48264164 72396246 144792492