Search a number
-
+
14530048 = 29133759
BaseRepresentation
bin110111011011…
…011000000000
31000100012110221
4313123120000
512204430143
61235232424
7234334441
oct67333000
930305427
1014530048
118224705
124a48714
133019780
141d032c8
1514202ed
hexddb600

14530048 has 80 divisors (see below), whose sum is σ = 32654160. Its totient is φ = 6414336.

The previous prime is 14530039. The next prime is 14530049. The reversal of 14530048 is 84003541.

It is a super-2 number, since 2×145300482 = 422244589764608, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14530049) 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 7 ways as a sum of consecutive naturals, for example, 246243 + ... + 246301.

It is an arithmetic number, because the mean of its divisors is an integer number (408177).

Almost surely, 214530048 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 14530048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16327080).

14530048 is an abundant number, since it is smaller than the sum of its proper divisors (18124112).

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

14530048 is an equidigital number, since it uses as much as digits as its factorization.

14530048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 14530048 is about 3811.8300067028. The cubic root of 14530048 is about 244.0182732888.

Adding to 14530048 its reverse (84003541), we get a palindrome (98533589).

The spelling of 14530048 in words is "fourteen million, five hundred thirty thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 37 52 59 64 74 104 118 128 148 208 236 256 296 416 472 481 512 592 767 832 944 962 1184 1534 1664 1888 1924 2183 2368 3068 3328 3776 3848 4366 4736 6136 6656 7552 7696 8732 9472 12272 15104 15392 17464 18944 24544 28379 30208 30784 34928 49088 56758 61568 69856 98176 113516 123136 139712 196352 227032 246272 279424 392704 454064 558848 908128 1117696 1816256 3632512 7265024 14530048