Search a number
-
+
5555264 = 261113607
BaseRepresentation
bin10101001100010001000000
3101110020101112
4111030101000
52410232024
6315022452
765135051
oct25142100
911406345
105555264
113154830
121a3aa28
1311c6750
14a48728
1574b00e
hex54c440

5555264 has 56 divisors (see below), whose sum is σ = 12972288. Its totient is φ = 2327040.

The previous prime is 5555237. The next prime is 5555267. The reversal of 5555264 is 4625555.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5555264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5555267) 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 7 ways as a sum of consecutive naturals, for example, 8849 + ... + 9455.

It is an arithmetic number, because the mean of its divisors is an integer number (231648).

Almost surely, 25555264 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 5555264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486144).

5555264 is an abundant number, since it is smaller than the sum of its proper divisors (7417024).

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

5555264 is a wasteful number, since it uses less digits than its factorization.

5555264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 633 counting only the distinct ones).

The product of its digits is 30000, while the sum is 32.

The square root of 5555264 is about 2356.9607548706. The cubic root of 5555264 is about 177.1066632361.

The spelling of 5555264 in words is "five million, five hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 607 704 832 1144 1214 2288 2428 4576 4856 6677 7891 9152 9712 13354 15782 19424 26708 31564 38848 53416 63128 86801 106832 126256 173602 213664 252512 347204 427328 505024 694408 1388816 2777632 5555264