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536064336 = 24323979377
BaseRepresentation
bin11111111100111…
…011000101010000
31101100200220000200
4133330323011100
52044213024321
6125105415200
716166320533
oct3774730520
91340626020
10536064336
1125565a085
1212b63a500
13870a1442
14512a2a1a
15320ddd26
hex1ff3b150

536064336 has 60 divisors (see below), whose sum is σ = 1504174932. Its totient is φ = 178219008.

The previous prime is 536064317. The next prime is 536064337. The reversal of 536064336 is 633460635.

It is a happy number.

536064336 is a `hidden beast` number, since 5 + 3 + 6 + 0 + 643 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 195440400 + 340623936 = 13980^2 + 18456^2 .

It is a super-2 number, since 2×5360643362 = 574729944662241792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 536064336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536064337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52480 + ... + 61856.

Almost surely, 2536064336 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 536064336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752087466).

536064336 is an abundant number, since it is smaller than the sum of its proper divisors (968110596).

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

536064336 is a wasteful number, since it uses less digits than its factorization.

536064336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9788 (or 9779 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 536064336 is about 23153.0632098649. The cubic root of 536064336 is about 812.3421192564.

It can be divided in two parts, 5360 and 64336, that added together give a palindrome (69696).

The spelling of 536064336 in words is "five hundred thirty-six million, sixty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 397 794 1191 1588 2382 3176 3573 4764 6352 7146 9377 9528 14292 18754 19056 28131 28584 37508 56262 57168 75016 84393 112524 150032 168786 225048 337572 450096 675144 1350288 3722669 7445338 11168007 14890676 22336014 29781352 33504021 44672028 59562704 67008042 89344056 134016084 178688112 268032168 536064336