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5724144 = 2432127313
BaseRepresentation
bin10101110101011111110000
3101202211001100
4111311133300
52431133034
6322404400
766440316
oct25653760
911684040
105724144
11325a6a8
121b00700
13125558a
14a900b6
15781099
hex5757f0

5724144 has 60 divisors (see below), whose sum is σ = 16197376. Its totient is φ = 1886976.

The previous prime is 5724143. The next prime is 5724151. The reversal of 5724144 is 4414275.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5724143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18132 + ... + 18444.

Almost surely, 25724144 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 5724144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8098688).

5724144 is an abundant number, since it is smaller than the sum of its proper divisors (10473232).

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

5724144 is a wasteful number, since it uses less digits than its factorization.

5724144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 445 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 5724144 is about 2392.5183384877. The cubic root of 5724144 is about 178.8834587781.

The spelling of 5724144 in words is "five million, seven hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 313 381 508 626 762 939 1016 1143 1252 1524 1878 2032 2286 2504 2817 3048 3756 4572 5008 5634 6096 7512 9144 11268 15024 18288 22536 39751 45072 79502 119253 159004 238506 318008 357759 477012 636016 715518 954024 1431036 1908048 2862072 5724144