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524140144 = 24113378837
BaseRepresentation
bin11111001111011…
…011111001110000
31100112021002002221
4133033123321300
52033134441034
6124002050424
715663055243
oct3717337160
91315232087
10524140144
11249955280
12127649a14
1384787ac8
144d87b25a
1531035bb4
hex1f3dbe70

524140144 has 40 divisors (see below), whose sum is σ = 1111254768. Its totient is φ = 237511680.

The previous prime is 524140139. The next prime is 524140147. The reversal of 524140144 is 441041425.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (524140147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54894 + ... + 63730.

Almost surely, 2524140144 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 524140144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555627384).

524140144 is an abundant number, since it is smaller than the sum of its proper divisors (587114624).

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

524140144 is a wasteful number, since it uses less digits than its factorization.

524140144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9193 (or 9187 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 524140144 is about 22894.1071894057. The cubic root of 524140144 is about 806.2736644778.

Adding to 524140144 its reverse (441041425), we get a palindrome (965181569).

The spelling of 524140144 in words is "five hundred twenty-four million, one hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 337 674 1348 2696 3707 5392 7414 8837 14828 17674 29656 35348 59312 70696 97207 141392 194414 388828 777656 1555312 2978069 5956138 11912276 23824552 32758759 47649104 65517518 131035036 262070072 524140144