Search a number
-
+
12415248 = 243329991
BaseRepresentation
bin101111010111…
…000100010000
3212100202112000
4233113010100
511134241443
61122034000
7210346026
oct57270420
925322460
1012415248
11700a83a
1241a8900
132759001
141912716
1511538d3
hexbd7110

12415248 has 80 divisors (see below), whose sum is σ = 36902400. Its totient is φ = 3991680.

The previous prime is 12415237. The next prime is 12415267. The reversal of 12415248 is 84251421.

12415248 is a `hidden beast` number, since 1 + 2 + 415 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12033 + ... + 13023.

It is an arithmetic number, because the mean of its divisors is an integer number (461280).

Almost surely, 212415248 is an apocalyptic number.

12415248 is a gapful number since it is divisible by the number (18) 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 12415248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18451200).

12415248 is an abundant number, since it is smaller than the sum of its proper divisors (24487152).

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

12415248 is a wasteful number, since it uses less digits than its factorization.

12415248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1025 counting only the distinct ones).

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

The square root of 12415248 is about 3523.5277776683. The cubic root of 12415248 is about 231.5537398545.

Adding to 12415248 its reverse (84251421), we get a palindrome (96666669).

The spelling of 12415248 in words is "twelve million, four hundred fifteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 991 1044 1392 1566 1982 2088 2973 3132 3964 4176 5946 6264 7928 8919 11892 12528 15856 17838 23784 26757 28739 35676 47568 53514 57478 71352 86217 107028 114956 142704 172434 214056 229912 258651 344868 428112 459824 517302 689736 775953 1034604 1379472 1551906 2069208 3103812 4138416 6207624 12415248