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5287828 = 2271373199
BaseRepresentation
bin10100001010111110010100
3100221122112111
4110022332110
52323202303
6305200404
762642260
oct24127624
910848474
105287828
112a91907
121930104
131131ac0
149b90a0
156e6b6d
hex50af94

5287828 has 48 divisors (see below), whose sum is σ = 11603200. Its totient is φ = 2052864.

The previous prime is 5287823. The next prime is 5287837. The reversal of 5287828 is 8287825.

It is a super-2 number, since 2×52878282 = 55922249915168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5287823) 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 15 ways as a sum of consecutive naturals, for example, 26473 + ... + 26671.

Almost surely, 25287828 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 5287828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801600).

5287828 is an abundant number, since it is smaller than the sum of its proper divisors (6315372).

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

5287828 is a wasteful number, since it uses less digits than its factorization.

5287828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 294 counting only the distinct ones).

The product of its digits is 71680, while the sum is 40.

The square root of 5287828 is about 2299.5277776100. The cubic root of 5287828 is about 174.2177658366.

The spelling of 5287828 in words is "five million, two hundred eighty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 73 91 146 182 199 292 364 398 511 796 949 1022 1393 1898 2044 2587 2786 3796 5174 5572 6643 10348 13286 14527 18109 26572 29054 36218 58108 72436 101689 188851 203378 377702 406756 755404 1321957 2643914 5287828