Search a number
-
+
538929888 = 2537899011
BaseRepresentation
bin100000000111110…
…110101011100000
31101120002110211020
4200013312223200
52100431224023
6125251045440
716232554110
oct4007665340
91346073736
10538929888
11257237002
121305a0880
1387865833
145180b040
15324a7de3
hex201f6ae0

538929888 has 96 divisors (see below), whose sum is σ = 1635137280. Its totient is φ = 152232960.

The previous prime is 538929877. The next prime is 538929907. The reversal of 538929888 is 888929835.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55303 + ... + 64313.

It is an arithmetic number, because the mean of its divisors is an integer number (17032680).

Almost surely, 2538929888 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 538929888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817568640).

538929888 is an abundant number, since it is smaller than the sum of its proper divisors (1096207392).

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

538929888 is a wasteful number, since it uses less digits than its factorization.

538929888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9120 (or 9112 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 60.

The square root of 538929888 is about 23214.8635145676. The cubic root of 538929888 is about 813.7870161382.

The spelling of 538929888 in words is "five hundred thirty-eight million, nine hundred twenty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 89 96 112 168 178 224 267 336 356 534 623 672 712 1068 1246 1424 1869 2136 2492 2848 3738 4272 4984 7476 8544 9011 9968 14952 18022 19936 27033 29904 36044 54066 59808 63077 72088 108132 126154 144176 189231 216264 252308 288352 378462 432528 504616 756924 801979 865056 1009232 1513848 1603958 2018464 2405937 3027696 3207916 4811874 5613853 6055392 6415832 9623748 11227706 12831664 16841559 19247496 22455412 25663328 33683118 38494992 44910824 67366236 76989984 89821648 134732472 179643296 269464944 538929888