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4115472 = 243831033
BaseRepresentation
bin1111101100110000010000
321202002100220
433230300100
52023143342
6224113040
746660314
oct17546020
97662326
104115472
112361019
121465780
13b112ba
14791b44
155645ec
hex3ecc10

4115472 has 40 divisors (see below), whose sum is σ = 10770144. Its totient is φ = 1353984.

The previous prime is 4115471. The next prime is 4115509. The reversal of 4115472 is 2745114.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4115471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3468 + ... + 4500.

Almost surely, 24115472 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 4115472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385072).

4115472 is an abundant number, since it is smaller than the sum of its proper divisors (6654672).

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

4115472 is a wasteful number, since it uses less digits than its factorization.

4115472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1121 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 4115472 is about 2028.6626136448. The cubic root of 4115472 is about 160.2531409533.

The spelling of 4115472 in words is "four million, one hundred fifteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1033 1328 1992 2066 3099 3984 4132 6198 8264 12396 16528 24792 49584 85739 171478 257217 342956 514434 685912 1028868 1371824 2057736 4115472