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5208424 = 231361821
BaseRepresentation
bin10011110111100101101000
3100210121121121
4103313211220
52313132144
6303345024
762161624
oct23674550
910717547
105208424
112a38191
1218b2174
131104910
14998184
156cd384
hex4f7968

5208424 has 32 divisors (see below), whose sum is σ = 10702440. Its totient is φ = 2361600.

The previous prime is 5208421. The next prime is 5208433. The reversal of 5208424 is 4248025.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1483524 + 3724900 = 1218^2 + 1930^2 .

It is not an unprimeable number, because it can be changed into a prime (5208421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5934 + ... + 6754.

Almost surely, 25208424 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 5208424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5351220).

5208424 is an abundant number, since it is smaller than the sum of its proper divisors (5494016).

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

5208424 is a wasteful number, since it uses less digits than its factorization.

5208424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 5208424 is about 2282.1971869232. The cubic root of 5208424 is about 173.3413244179.

The spelling of 5208424 in words is "five million, two hundred eight thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 61 104 122 244 488 793 821 1586 1642 3172 3284 6344 6568 10673 21346 42692 50081 85384 100162 200324 400648 651053 1302106 2604212 5208424