Search a number
-
+
5464576 = 2913821
BaseRepresentation
bin10100110110001000000000
3101021121222201
4110312020000
52344331301
6313042544
764306465
oct24661000
911247881
105464576
1130a2687
1219b6454
1311943a0
14a2366c
1572e201
hex536200

5464576 has 40 divisors (see below), whose sum is σ = 11772684. Its totient is φ = 2519040.

The previous prime is 5464573. The next prime is 5464577. The reversal of 5464576 is 6754645.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4946176 + 518400 = 2224^2 + 720^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5464573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6246 + ... + 7066.

Almost surely, 25464576 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 5464576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5886342).

5464576 is an abundant number, since it is smaller than the sum of its proper divisors (6308108).

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

5464576 is an equidigital number, since it uses as much as digits as its factorization.

5464576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 836 counting only the distinct ones).

The product of its digits is 100800, while the sum is 37.

The square root of 5464576 is about 2337.6432576422. The cubic root of 5464576 is about 176.1376333884.

The spelling of 5464576 in words is "five million, four hundred sixty-four thousand, five hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 821 832 1642 1664 3284 3328 6568 6656 10673 13136 21346 26272 42692 52544 85384 105088 170768 210176 341536 420352 683072 1366144 2732288 5464576