Search a number
-
+
538195968 = 211339733
BaseRepresentation
bin100000000101000…
…011100000000000
31101111201012002000
4200011003200000
52100234232333
6125223224000
716223406312
oct4005034000
91344635060
10538195968
11256885662
121302a8000
138766976b
14516997b2
15323b0713
hex20143800

538195968 has 96 divisors (see below), whose sum is σ = 1594429200. Its totient is φ = 179380224.

The previous prime is 538195967. The next prime is 538195993. The reversal of 538195968 is 869591835.

It is a happy number.

538195968 is a `hidden beast` number, since 5 + 38 + 19 + 596 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538195967) 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, 50430 + ... + 60162.

Almost surely, 2538195968 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 538195968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797214600).

538195968 is an abundant number, since it is smaller than the sum of its proper divisors (1056233232).

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

538195968 is an equidigital number, since it uses as much as digits as its factorization.

538195968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9764 (or 9738 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The square root of 538195968 is about 23199.0510150739. The cubic root of 538195968 is about 813.4174406138.

The spelling of 538195968 in words is "five hundred thirty-eight million, one hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4608 6144 6912 9216 9733 13824 18432 19466 27648 29199 38932 55296 58398 77864 87597 116796 155728 175194 233592 262791 311456 350388 467184 525582 622912 700776 934368 1051164 1245824 1401552 1868736 2102328 2491648 2803104 3737472 4204656 4983296 5606208 7474944 8409312 9966592 11212416 14949888 16818624 19933184 22424832 29899776 33637248 44849664 59799552 67274496 89699328 134548992 179398656 269097984 538195968