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534485536 = 251310112721
BaseRepresentation
bin11111110110111…
…001101000100000
31101020201200022121
4133312321220200
52043312014121
6125011514024
716150023604
oct3766715040
91336650277
10534485536
11254780992
1212abb8914
138696a940
1450db1504
1531dcb141
hex1fdb9a20

534485536 has 48 divisors (see below), whose sum is σ = 1144522008. Its totient is φ = 244224000.

The previous prime is 534485531. The next prime is 534485537. The reversal of 534485536 is 635584435.

It can be written as a sum of positive squares in 4 ways, for example, as 531025936 + 3459600 = 23044^2 + 1860^2 .

It is a junction number, because it is equal to n+sod(n) for n = 534485492 and 534485501.

It is not an unprimeable number, because it can be changed into a prime (534485531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35656 + ... + 48376.

Almost surely, 2534485536 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 534485536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572261004).

534485536 is an abundant number, since it is smaller than the sum of its proper divisors (610036472).

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

534485536 is a wasteful number, since it uses less digits than its factorization.

534485536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12845 (or 12837 counting only the distinct ones).

The product of its digits is 864000, while the sum is 43.

The square root of 534485536 is about 23118.9432284436. The cubic root of 534485536 is about 811.5438401440.

The spelling of 534485536 in words is "five hundred thirty-four million, four hundred eighty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 101 104 202 208 404 416 808 1313 1616 2626 3232 5252 10504 12721 21008 25442 42016 50884 101768 165373 203536 330746 407072 661492 1284821 1322984 2569642 2645968 5139284 5291936 10278568 16702673 20557136 33405346 41114272 66810692 133621384 267242768 534485536