Search a number
-
+
533742336 = 28321713627
BaseRepresentation
bin11111110100000…
…100001100000000
31101012022220211200
4133310010030000
52043114223321
6124543541200
716140510051
oct3764041400
91335286750
10533742336
11254313576
1212a8ba800
138676a58a
1450c5a728
1531cd0d26
hex1fd04300

533742336 has 108 divisors (see below), whose sum is σ = 1629554472. Its totient is φ = 167436288.

The previous prime is 533742331. The next prime is 533742337. The reversal of 533742336 is 633247335.

533742336 is a `hidden beast` number, since 53 + 374 + 233 + 6 = 666.

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 533742336.

It is not an unprimeable number, because it can be changed into a prime (533742331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32355 + ... + 45981.

Almost surely, 2533742336 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 533742336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814777236).

533742336 is an abundant number, since it is smaller than the sum of its proper divisors (1095812136).

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

533742336 is a wasteful number, since it uses less digits than its factorization.

533742336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13666 (or 13649 counting only the distinct ones).

The product of its digits is 136080, while the sum is 36.

The square root of 533742336 is about 23102.8642380117. The cubic root of 533742336 is about 811.1675161764.

The spelling of 533742336 in words is "five hundred thirty-three million, seven hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 544 576 612 768 816 1088 1152 1224 1632 2176 2304 2448 3264 4352 4896 6528 9792 13056 13627 19584 27254 39168 40881 54508 81762 109016 122643 163524 218032 231659 245286 327048 436064 463318 490572 654096 694977 872128 926636 981144 1308192 1389954 1744256 1853272 1962288 2084931 2616384 2779908 3488512 3706544 3924576 4169862 5232768 5559816 7413088 7849152 8339724 10465536 11119632 14826176 15698304 16679448 22239264 29652352 31396608 33358896 44478528 59304704 66717792 88957056 133435584 177914112 266871168 533742336