Search a number
-
+
538937856 = 29322937109
BaseRepresentation
bin100000000111111…
…000101000000000
31101120002212202100
4200013320220000
52100432002411
6125251150400
716232616252
oct4007705000
91346085670
10538937856
11257241a96
121305a5400
1387869352
145180dcd2
15324aa456
hex201f8a00

538937856 has 240 divisors, whose sum is σ = 1667694600. Its totient is φ = 167215104.

The previous prime is 538937837. The next prime is 538937857. The reversal of 538937856 is 658739835.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 537497856 + 1440000 = 23184^2 + 1200^2 .

Its product of digits (5443200) is a multiple of the sum of its prime divisors (180).

It is not an unprimeable number, because it can be changed into a prime (538937857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4944330 + ... + 4944438.

Almost surely, 2538937856 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 538937856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833847300).

538937856 is an abundant number, since it is smaller than the sum of its proper divisors (1128756744).

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

538937856 is a wasteful number, since it uses less digits than its factorization.

538937856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 180 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 538937856 is about 23215.0351281233. The cubic root of 538937856 is about 813.7910266927.

The spelling of 538937856 in words is "five hundred thirty-eight million, nine hundred thirty-seven thousand, eight hundred fifty-six".