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5219456 = 27112337
BaseRepresentation
bin10011111010010010000000
3100211011202012
4103322102000
52314010311
6303512052
762236034
oct23722200
910734665
105219456
112a45500
1218b8628
131109948
1499c1c4
156d178b
hex4fa480

5219456 has 48 divisors (see below), whose sum is σ = 11463270. Its totient is φ = 2365440.

The previous prime is 5219453. The next prime is 5219477. The reversal of 5219456 is 6549125.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4840000 + 379456 = 2200^2 + 616^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5219453) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15320 + ... + 15656.

Almost surely, 25219456 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 5219456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5731635).

5219456 is an abundant number, since it is smaller than the sum of its proper divisors (6243814).

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

5219456 is a wasteful number, since it uses less digits than its factorization.

5219456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 350 counting only the distinct ones).

The product of its digits is 10800, while the sum is 32.

The square root of 5219456 is about 2284.6128774915. The cubic root of 5219456 is about 173.4636232761.

The spelling of 5219456 in words is "five million, two hundred nineteen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 337 352 484 674 704 968 1348 1408 1936 2696 3707 3872 5392 7414 7744 10784 14828 15488 21568 29656 40777 43136 59312 81554 118624 163108 237248 326216 474496 652432 1304864 2609728 5219456