Search a number
-
+
12917448 = 233379757
BaseRepresentation
bin110001010001…
…101011001000
3220022021102000
4301101223020
511301324243
61140511000
7214540125
oct61215310
926267360
1012917448
117323085
1243ab460
1328a377b
141a0374c
1512025d3
hexc51ac8

12917448 has 64 divisors (see below), whose sum is σ = 36384000. Its totient is φ = 4245696.

The previous prime is 12917431. The next prime is 12917449. The reversal of 12917448 is 84471921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12917449) 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, 16686 + ... + 17442.

It is an arithmetic number, because the mean of its divisors is an integer number (568500).

Almost surely, 212917448 is an apocalyptic number.

12917448 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 12917448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18192000).

12917448 is an abundant number, since it is smaller than the sum of its proper divisors (23466552).

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

12917448 is a wasteful number, since it uses less digits than its factorization.

12917448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 841 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 12917448 is about 3594.0851408947. The cubic root of 12917448 is about 234.6347002916.

The spelling of 12917448 in words is "twelve million, nine hundred seventeen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 108 158 216 237 316 474 632 711 757 948 1422 1514 1896 2133 2271 2844 3028 4266 4542 5688 6056 6813 8532 9084 13626 17064 18168 20439 27252 40878 54504 59803 81756 119606 163512 179409 239212 358818 478424 538227 717636 1076454 1435272 1614681 2152908 3229362 4305816 6458724 12917448