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14842152 = 233213101157
BaseRepresentation
bin111000100111…
…100100101000
31000221001121100
4320213210220
512244422102
61250041400
7240104403
oct70474450
930831540
1014842152
118418146
124b79260
1330c8850
141d84d3a
151482a1c
hexe27928

14842152 has 96 divisors (see below), whose sum is σ = 43996680. Its totient is φ = 4492800.

The previous prime is 14842129. The next prime is 14842159. The reversal of 14842152 is 25124841.

It can be written as a sum of positive squares in 4 ways, for example, as 12574116 + 2268036 = 3546^2 + 1506^2 .

It is a super-2 number, since 2×148421522 = 440578951982208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14842159) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 94458 + ... + 94614.

Almost surely, 214842152 is an apocalyptic number.

14842152 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 14842152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21998340).

14842152 is an abundant number, since it is smaller than the sum of its proper divisors (29154528).

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

14842152 is a wasteful number, since it uses less digits than its factorization.

14842152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 276 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 14842152 is about 3852.5513624091. The cubic root of 14842152 is about 245.7530736624.

Adding to 14842152 its reverse (25124841), we get a palindrome (39966993).

The spelling of 14842152 in words is "fourteen million, eight hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 101 104 117 156 157 202 234 303 312 314 404 468 471 606 628 808 909 936 942 1212 1256 1313 1413 1818 1884 2041 2424 2626 2826 3636 3768 3939 4082 5252 5652 6123 7272 7878 8164 10504 11304 11817 12246 15756 15857 16328 18369 23634 24492 31512 31714 36738 47268 47571 48984 63428 73476 94536 95142 126856 142713 146952 190284 206141 285426 380568 412282 570852 618423 824564 1141704 1236846 1649128 1855269 2473692 3710538 4947384 7421076 14842152