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538127460 = 2232513417179
BaseRepresentation
bin100000000100110…
…010110001100100
31101111120201002200
4200010302301210
52100230034320
6125221534500
716223002503
oct4004626144
91344521080
10538127460
11256839142
12130274430
1387644520
145167c83a
153239a290
hex20132c64

538127460 has 288 divisors, whose sum is σ = 1849236480. Its totient is φ = 125798400.

The previous prime is 538127453. The next prime is 538127461. The reversal of 538127460 is 64721835.

538127460 is a `hidden beast` number, since 5 + 381 + 274 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (538127461) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6811701 + ... + 6811779.

It is an arithmetic number, because the mean of its divisors is an integer number (6420960).

Almost surely, 2538127460 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 538127460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924618240).

538127460 is an abundant number, since it is smaller than the sum of its proper divisors (1311109020).

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

538127460 is a wasteful number, since it uses less digits than its factorization.

538127460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 538127460 is about 23197.5744421696. The cubic root of 538127460 is about 813.3829253257.

The spelling of 538127460 in words is "five hundred thirty-eight million, one hundred twenty-seven thousand, four hundred sixty".