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5144576 = 215157
BaseRepresentation
bin10011101000000000000000
3100200101000212
4103220000000
52304111301
6302133252
761504523
oct23500000
910611025
105144576
1129a4218
121881228
1310b1838
1497cbba
156b94bb
hex4e8000

5144576 has 32 divisors (see below), whose sum is σ = 10354530. Its totient is φ = 2555904.

The previous prime is 5144569. The next prime is 5144597. The reversal of 5144576 is 6754415.

It can be written as a sum of positive squares in only one way, i.e., 4734976 + 409600 = 2176^2 + 640^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32690 + ... + 32846.

Almost surely, 25144576 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 5144576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5177265).

5144576 is an abundant number, since it is smaller than the sum of its proper divisors (5209954).

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

5144576 is an frugal number, since it uses more digits than its factorization.

5144576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 159 counting only the distinct ones).

The product of its digits is 16800, while the sum is 32.

The square root of 5144576 is about 2268.1657787737. The cubic root of 5144576 is about 172.6301027875.

The spelling of 5144576 in words is "five million, one hundred forty-four thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 157 256 314 512 628 1024 1256 2048 2512 4096 5024 8192 10048 16384 20096 32768 40192 80384 160768 321536 643072 1286144 2572288 5144576