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536043312 = 243371031721
BaseRepresentation
bin11111111100110…
…101111100110000
31101100122211012000
4133330311330300
52044211341222
6125105134000
716166202330
oct3774657460
91340584160
10536043312
11255645302
1212b62a300
13870949bc
14512990c0
15320d79ac
hex1ff35f30

536043312 has 160 divisors (see below), whose sum is σ = 1776552960. Its totient is φ = 151580160.

The previous prime is 536043311. The next prime is 536043331. The reversal of 536043312 is 213340635.

It is a happy number.

536043312 is a `hidden beast` number, since 53 + 604 + 3 + 3 + 1 + 2 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (536043311) 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 31 ways as a sum of consecutive naturals, for example, 310612 + ... + 312332.

It is an arithmetic number, because the mean of its divisors is an integer number (11103456).

Almost surely, 2536043312 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 536043312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888276480).

536043312 is an abundant number, since it is smaller than the sum of its proper divisors (1240509648).

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

536043312 is a wasteful number, since it uses less digits than its factorization.

536043312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 536043312 is about 23152.6091834160. The cubic root of 536043312 is about 812.3314993221.

Adding to 536043312 its reverse (213340635), we get a palindrome (749383947).

The spelling of 536043312 in words is "five hundred thirty-six million, forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 103 108 112 126 144 168 189 206 216 252 309 336 378 412 432 504 618 721 756 824 927 1008 1236 1442 1512 1648 1721 1854 2163 2472 2781 2884 3024 3442 3708 4326 4944 5163 5562 5768 6489 6884 7416 8652 10326 11124 11536 12047 12978 13768 14832 15489 17304 19467 20652 22248 24094 25956 27536 30978 34608 36141 38934 41304 44496 46467 48188 51912 61956 72282 77868 82608 92934 96376 103824 108423 123912 144564 155736 177263 185868 192752 216846 247824 289128 311472 325269 354526 371736 433692 531789 578256 650538 709052 743472 867384 1063578 1240841 1301076 1418104 1595367 1734768 2127156 2481682 2602152 2836208 3190734 3722523 4254312 4786101 4963364 5204304 6381468 7445046 8508624 9572202 9926728 11167569 12762936 14890092 19144404 19853456 22335138 25525872 29780184 33502707 38288808 44670276 59560368 67005414 76577616 89340552 134010828 178681104 268021656 536043312