Search a number
-
+
4096576 = 26112232
BaseRepresentation
bin1111101000001001000000
321201010110001
433220021000
52022042301
6223445344
746551241
oct17501100
97633401
104096576
112348900
121456854
13b05813
14788cc8
1555dc01
hex3e8240

4096576 has 63 divisors (see below), whose sum is σ = 9340723. Its totient is φ = 1781120.

The previous prime is 4096537. The next prime is 4096579. The reversal of 4096576 is 6756904.

4096576 = T103 + T104 + ... + T294.

The square root of 4096576 is 2024.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4096579) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 178101 + ... + 178123.

Almost surely, 24096576 is an apocalyptic number.

4096576 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

4096576 is the 2024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4096576

4096576 is an abundant number, since it is smaller than the sum of its proper divisors (5244147).

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

4096576 is a wasteful number, since it uses less digits than its factorization.

4096576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The cubic root of 4096576 is about 160.0074996485.

It can be divided in two parts, 40965 and 76, that added together give a triangular number (41041 = T286).

The spelling of 4096576 in words is "four million, ninety-six thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 121 176 184 242 253 352 368 484 506 529 704 736 968 1012 1058 1472 1936 2024 2116 2783 3872 4048 4232 5566 5819 7744 8096 8464 11132 11638 16192 16928 22264 23276 33856 44528 46552 64009 89056 93104 128018 178112 186208 256036 372416 512072 1024144 2048288 4096576