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5626496 = 27113389
BaseRepresentation
bin10101011101101010000000
3101120212002202
4111131222000
52420021441
6320332332
765552531
oct25355200
911525082
105626496
1131a32a7
121a740a8
13121ccb5
14a66688
1576219b
hex55da80

5626496 has 32 divisors (see below), whose sum is σ = 11337300. Its totient is φ = 2781184.

The previous prime is 5626447. The next prime is 5626499. The reversal of 5626496 is 6946265.

It can be written as a sum of positive squares in 2 ways, for example, as 4494400 + 1132096 = 2120^2 + 1064^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (5626499) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14270 + ... + 14658.

Almost surely, 25626496 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 5626496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5668650).

5626496 is an abundant number, since it is smaller than the sum of its proper divisors (5710804).

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

5626496 is a wasteful number, since it uses less digits than its factorization.

5626496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 504 counting only the distinct ones).

The product of its digits is 77760, while the sum is 38.

The square root of 5626496 is about 2372.0236086515. The cubic root of 5626496 is about 177.8604300859.

The spelling of 5626496 in words is "five million, six hundred twenty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 113 128 226 389 452 778 904 1556 1808 3112 3616 6224 7232 12448 14464 24896 43957 49792 87914 175828 351656 703312 1406624 2813248 5626496