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5456464 = 241337709
BaseRepresentation
bin10100110100001001010000
3101021012212021
4110310021100
52344101324
6312541224
764244026
oct24641120
911235767
105456464
113097582
1219b1814
1311907a0
14a20716
1572bae4
hex534250

5456464 has 40 divisors (see below), whose sum is σ = 11709320. Its totient is φ = 2446848.

The previous prime is 5456453. The next prime is 5456467. The reversal of 5456464 is 4646545.

It can be written as a sum of positive squares in 4 ways, for example, as 258064 + 5198400 = 508^2 + 2280^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5456467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7342 + ... + 8050.

It is an arithmetic number, because the mean of its divisors is an integer number (292733).

Almost surely, 25456464 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 5456464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854660).

5456464 is an abundant number, since it is smaller than the sum of its proper divisors (6252856).

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

5456464 is a wasteful number, since it uses less digits than its factorization.

5456464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 761 counting only the distinct ones).

The product of its digits is 57600, while the sum is 34.

The square root of 5456464 is about 2335.9075324165. The cubic root of 5456464 is about 176.0504332053.

The spelling of 5456464 in words is "five million, four hundred fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 709 962 1418 1924 2836 3848 5672 7696 9217 11344 18434 26233 36868 52466 73736 104932 147472 209864 341029 419728 682058 1364116 2728232 5456464