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5240032 = 257149157
BaseRepresentation
bin10011111111010011100000
3100212012222021
4103333103200
52320140112
6304151224
762353030
oct23772340
910765867
105240032
112a59a06
121908514
131116115
149a58c0
156d7907
hex4ff4e0

5240032 has 48 divisors (see below), whose sum is σ = 11944800. Its totient is φ = 2216448.

The previous prime is 5240017. The next prime is 5240033. The reversal of 5240032 is 2300425.

It is a super-2 number, since 2×52400322 = 54915870722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 5239988 and 5240015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5240033) 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, 33298 + ... + 33454.

It is an arithmetic number, because the mean of its divisors is an integer number (248850).

Almost surely, 25240032 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 5240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5972400).

5240032 is an abundant number, since it is smaller than the sum of its proper divisors (6704768).

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

5240032 is a wasteful number, since it uses less digits than its factorization.

5240032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 5240032 is about 2289.1116180737. Note that the first 3 decimals coincide. The cubic root of 5240032 is about 173.6912656229.

Adding to 5240032 its reverse (2300425), we get a palindrome (7540457).

The spelling of 5240032 in words is "five million, two hundred forty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 149 157 224 298 314 596 628 1043 1099 1192 1256 2086 2198 2384 2512 4172 4396 4768 5024 8344 8792 16688 17584 23393 33376 35168 46786 93572 163751 187144 327502 374288 655004 748576 1310008 2620016 5240032