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535240000 = 265413381
BaseRepresentation
bin11111111001110…
…001110101000000
31101022011000020201
4133321301311000
52044010140000
6125040014544
716156315321
oct3771616500
91338130221
10535240000
11255146809
1212b301454
1386b73179
145112a448
1531ec996a
hex1fe71d40

535240000 has 70 divisors (see below), whose sum is σ = 1327320434. Its totient is φ = 214080000.

The previous prime is 535239989. The next prime is 535240007. The reversal of 535240000 is 42535.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 323712064 + 211527936 = 17992^2 + 14544^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 535240000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535240007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 33310 + ... + 46690.

Almost surely, 2535240000 is an apocalyptic number.

535240000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663660217).

535240000 is an abundant number, since it is smaller than the sum of its proper divisors (792080434).

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

535240000 is an equidigital number, since it uses as much as digits as its factorization.

535240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13413 (or 13388 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 535240000 is about 23135.2544831476. The cubic root of 535240000 is about 811.9255110554.

Adding to 535240000 its reverse (42535), we get a palindrome (535282535).

The spelling of 535240000 in words is "five hundred thirty-five million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 13381 20000 26762 40000 53524 66905 107048 133810 214096 267620 334525 428192 535240 669050 856384 1070480 1338100 1672625 2140960 2676200 3345250 4281920 5352400 6690500 8363125 10704800 13381000 16726250 21409600 26762000 33452500 53524000 66905000 107048000 133810000 267620000 535240000