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5726144 = 261719277
BaseRepresentation
bin10101110101111111000000
3101202220210102
4111311333000
52431214034
6322421532
766446204
oct25657700
911686712
105726144
113261156
121b018a8
131256468
14a90b04
1578197e
hex575fc0

5726144 has 56 divisors (see below), whose sum is σ = 12710160. Its totient is φ = 2543616.

The previous prime is 5726143. The next prime is 5726153. The reversal of 5726144 is 4416275.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5726143) 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, 20534 + ... + 20810.

Almost surely, 25726144 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 5726144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6355080).

5726144 is an abundant number, since it is smaller than the sum of its proper divisors (6984016).

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

5726144 is a wasteful number, since it uses less digits than its factorization.

5726144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 315 counting only the distinct ones).

The product of its digits is 6720, while the sum is 29.

The square root of 5726144 is about 2392.9362716128. The cubic root of 5726144 is about 178.9042901465.

The spelling of 5726144 in words is "five million, seven hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 136 152 272 277 304 323 544 554 608 646 1088 1108 1216 1292 2216 2584 4432 4709 5168 5263 8864 9418 10336 10526 17728 18836 20672 21052 37672 42104 75344 84208 89471 150688 168416 178942 301376 336832 357884 715768 1431536 2863072 5726144