Search a number
-
+
533785952 = 2577133563
BaseRepresentation
bin11111110100001…
…110110101100000
31101012102010200002
4133310032311200
52043122122302
6124544515132
716141051160
oct3764166540
91335363602
10533785952
11254343317
1212a91baa8
138678439b
1450c6c5a0
1531cddc02
hex1fd0ed60

533785952 has 48 divisors (see below), whose sum is σ = 1217970432. Its totient is φ = 225536640.

The previous prime is 533785927. The next prime is 533785969. The reversal of 533785952 is 259587335.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 533785897 and 533785906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 878 + ... + 32685.

It is an arithmetic number, because the mean of its divisors is an integer number (25374384).

Almost surely, 2533785952 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 533785952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608985216).

533785952 is an abundant number, since it is smaller than the sum of its proper divisors (684184480).

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

533785952 is a wasteful number, since it uses less digits than its factorization.

533785952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33651 (or 33643 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 47.

The square root of 533785952 is about 23103.8081709488. The cubic root of 533785952 is about 811.1896110565.

The spelling of 533785952 in words is "five hundred thirty-three million, seven hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 142 224 284 497 568 994 1136 1988 2272 3976 7952 15904 33563 67126 134252 234941 268504 469882 537008 939764 1074016 1879528 2382973 3759056 4765946 7518112 9531892 16680811 19063784 33361622 38127568 66723244 76255136 133446488 266892976 533785952