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502135144 = 23725324169
BaseRepresentation
bin11101111011011…
…111100101101000
31021222212002220221
4131323133211220
52012021311034
6121454255424
715305035600
oct3573374550
91258762827
10502135144
11238495625
121201b7574
1380051bb4
144a98dc00
152e13abb4
hex1dedf968

502135144 has 48 divisors (see below), whose sum is σ = 1115928900. Its totient is φ = 211131648.

The previous prime is 502135133. The next prime is 502135181. The reversal of 502135144 is 441531205.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 414936900 + 87198244 = 20370^2 + 9338^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8692 + ... + 32860.

Almost surely, 2502135144 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 502135144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557964450).

502135144 is an abundant number, since it is smaller than the sum of its proper divisors (613793756).

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

502135144 is a wasteful number, since it uses less digits than its factorization.

502135144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24242 (or 24231 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 502135144 is about 22408.3721854132. The cubic root of 502135144 is about 794.8286982418.

Adding to 502135144 its reverse (441531205), we get a palindrome (943666349).

The spelling of 502135144 in words is "five hundred two million, one hundred thirty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 53 56 98 106 196 212 371 392 424 742 1484 2597 2968 5194 10388 20776 24169 48338 96676 169183 193352 338366 676732 1184281 1280957 1353464 2368562 2561914 4737124 5123828 8966699 9474248 10247656 17933398 35866796 62766893 71733592 125533786 251067572 502135144