Search a number
-
+
533880192 = 2734393167
BaseRepresentation
bin11111110100100…
…101110110000000
31101012120220221110
4133310211312000
52043133131232
6124550523320
716141623006
oct3764456600
91335526843
10533880192
112543a80aa
1212a966540
13867b8251
1450c94a76
1531d0bacc
hex1fd25d80

533880192 has 64 divisors (see below), whose sum is σ = 1421798400. Its totient is φ = 177498624.

The previous prime is 533880181. The next prime is 533880197. The reversal of 533880192 is 291088335.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 533880192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533880197) 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, 166993 + ... + 170159.

It is an arithmetic number, because the mean of its divisors is an integer number (22215600).

Almost surely, 2533880192 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 533880192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710899200).

533880192 is an abundant number, since it is smaller than the sum of its proper divisors (887918208).

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

533880192 is a wasteful number, since it uses less digits than its factorization.

533880192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 533880192 is about 23105.8475715564. The cubic root of 533880192 is about 811.2373468017.

The spelling of 533880192 in words is "five hundred thirty-three million, eight hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 439 878 1317 1756 2634 3167 3512 5268 6334 7024 9501 10536 12668 14048 19002 21072 25336 28096 38004 42144 50672 56192 76008 84288 101344 152016 168576 202688 304032 405376 608064 1216128 1390313 2780626 4170939 5561252 8341878 11122504 16683756 22245008 33367512 44490016 66735024 88980032 133470048 177960064 266940096 533880192