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5239872 = 263211827
BaseRepresentation
bin10011111111010001000000
3100212012202100
4103333101000
52320133442
6304150400
762352411
oct23772100
910765670
105239872
112a59880
121908400
131116021
149a5808
156d784c
hex4ff440

5239872 has 84 divisors (see below), whose sum is σ = 16404336. Its totient is φ = 1585920.

The previous prime is 5239813. The next prime is 5239879. The reversal of 5239872 is 2789325.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5239879) 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 11 ways as a sum of consecutive naturals, for example, 5923 + ... + 6749.

Almost surely, 25239872 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 5239872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8202168).

5239872 is an abundant number, since it is smaller than the sum of its proper divisors (11164464).

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

5239872 is a wasteful number, since it uses less digits than its factorization.

5239872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 843 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 5239872 is about 2289.0766697514. The cubic root of 5239872 is about 173.6894977657.

The spelling of 5239872 in words is "five million, two hundred thirty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 827 1056 1584 1654 2112 2481 3168 3308 4962 6336 6616 7443 9097 9924 13232 14886 18194 19848 26464 27291 29772 36388 39696 52928 54582 59544 72776 79392 81873 109164 119088 145552 158784 163746 218328 238176 291104 327492 436656 476352 582208 654984 873312 1309968 1746624 2619936 5239872