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5239744 = 261931139
BaseRepresentation
bin10011111111001111000000
3100212012120121
4103333033000
52320132434
6304150024
762352136
oct23771700
910765517
105239744
112a59774
121908314
131115c53
149a5756
156d77b4
hex4ff3c0

5239744 has 56 divisors (see below), whose sum is σ = 11379200. Its totient is φ = 2384640.

The previous prime is 5239673. The next prime is 5239753. The reversal of 5239744 is 4479325.

It is a d-powerful number, because it can be written as 55 + 217 + 312 + 9 + 76 + 49 + 411 .

It is a congruent number.

It is an unprimeable number.

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, 37627 + ... + 37765.

It is an arithmetic number, because the mean of its divisors is an integer number (203200).

Almost surely, 25239744 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 5239744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5689600).

5239744 is an abundant number, since it is smaller than the sum of its proper divisors (6139456).

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

5239744 is a wasteful number, since it uses less digits than its factorization.

5239744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 5239744 is about 2289.0487107093. The cubic root of 5239744 is about 173.6880834540.

It can be divided in two parts, 52397 and 44, that added together give a square (52441 = 2292).

The spelling of 5239744 in words is "five million, two hundred thirty-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 139 152 248 278 304 496 556 589 608 992 1112 1178 1216 1984 2224 2356 2641 4309 4448 4712 5282 8618 8896 9424 10564 17236 18848 21128 34472 37696 42256 68944 81871 84512 137888 163742 169024 275776 327484 654968 1309936 2619872 5239744