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5252352 = 2837977
BaseRepresentation
bin10100000010010100000000
3100212211212120
4110002110000
52321033402
6304324240
762433660
oct24022400
910784776
105252352
112a68196
121913680
13111b901
149aa1a0
156db3bc
hex502500

5252352 has 72 divisors (see below), whose sum is σ = 15992256. Its totient is φ = 1499136.

The previous prime is 5252347. The next prime is 5252363. The reversal of 5252352 is 2532525.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 55 + 24 + 55 + 220 + 34 + 55 + 222 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4888 + ... + 5864.

Almost surely, 25252352 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 5252352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7996128).

5252352 is an abundant number, since it is smaller than the sum of its proper divisors (10739904).

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

5252352 is an equidigital number, since it uses as much as digits as its factorization.

5252352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 989 counting only the distinct ones).

The product of its digits is 3000, while the sum is 24.

The square root of 5252352 is about 2291.8010384848. The cubic root of 5252352 is about 173.8272827017.

Adding to 5252352 its reverse (2532525), we get a palindrome (7784877).

The spelling of 5252352 in words is "five million, two hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 977 1344 1792 1954 2688 2931 3908 5376 5862 6839 7816 11724 13678 15632 20517 23448 27356 31264 41034 46896 54712 62528 82068 93792 109424 125056 164136 187584 218848 250112 328272 375168 437696 656544 750336 875392 1313088 1750784 2626176 5252352