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5504064 = 263109263
BaseRepresentation
bin10100111111110001000000
3101100122011020
4110333301000
52402112224
6313545440
764532556
oct24776100
911318136
105504064
11311a315
121a15280
1311a9357
14a33bd6
1573ac79
hex53fc40

5504064 has 56 divisors (see below), whose sum is σ = 14752320. Its totient is φ = 1810944.

The previous prime is 5504063. The next prime is 5504077. The reversal of 5504064 is 4604055.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5504063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20797 + ... + 21059.

Almost surely, 25504064 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 5504064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7376160).

5504064 is an abundant number, since it is smaller than the sum of its proper divisors (9248256).

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

5504064 is a wasteful number, since it uses less digits than its factorization.

5504064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 5504064 is about 2346.0741676256. The cubic root of 5504064 is about 176.5608828369.

Subtracting from 5504064 its reverse (4604055), we obtain a palindrome (900009).

The spelling of 5504064 in words is "five million, five hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 192 218 263 327 436 526 654 789 872 1052 1308 1578 1744 2104 2616 3156 3488 4208 5232 6312 6976 8416 10464 12624 16832 20928 25248 28667 50496 57334 86001 114668 172002 229336 344004 458672 688008 917344 1376016 1834688 2752032 5504064