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538074576 = 243413109293
BaseRepresentation
bin100000000100100…
…101110111010000
31101111111000120000
4200010211313100
52100221341301
6125220450000
716222362354
oct4004456720
91344430500
10538074576
11256802436
12130249900
1387626430
1451667464
1532389786
hex20125dd0

538074576 has 200 divisors, whose sum is σ = 1698302760. Its totient is φ = 163482624.

The previous prime is 538074569. The next prime is 538074577. The reversal of 538074576 is 675470835.

538074576 is a `hidden beast` number, since 5 + 3 + 8 + 0 + 74 + 576 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 158760000 + 379314576 = 12600^2 + 19476^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538074577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1836286 + ... + 1836578.

Almost surely, 2538074576 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 538074576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849151380).

538074576 is an abundant number, since it is smaller than the sum of its proper divisors (1160228184).

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

538074576 is a wasteful number, since it uses less digits than its factorization.

538074576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 538074576 is about 23196.4345536119. The cubic root of 538074576 is about 813.3562796238.

The spelling of 538074576 in words is "five hundred thirty-eight million, seventy-four thousand, five hundred seventy-six".