Search a number
-
+
530427744 = 253372111767
BaseRepresentation
bin11111100111011…
…010111101100000
31100222002112002000
4133213122331200
52041242141434
6124344524000
716100363400
oct3747327540
91328075060
10530427744
1125245a240
12129780600
1385b79992
1450636800
1531878b99
hex1f9daf60

530427744 has 576 divisors, whose sum is σ = 2109784320. Its totient is φ = 127733760.

The previous prime is 530427743. The next prime is 530427809. The reversal of 530427744 is 447724035.

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

It is a junction number, because it is equal to n+sod(n) for n = 530427699 and 530427708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530427743) 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, 7916799 + ... + 7916865.

It is an arithmetic number, because the mean of its divisors is an integer number (3662820).

Almost surely, 2530427744 is an apocalyptic number.

530427744 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530427744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054892160).

530427744 is an abundant number, since it is smaller than the sum of its proper divisors (1579356576).

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

530427744 is a wasteful number, since it uses less digits than its factorization.

530427744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 530427744 is about 23031.0169988214. The cubic root of 530427744 is about 809.4848851051.

The spelling of 530427744 in words is "five hundred thirty million, four hundred twenty-seven thousand, seven hundred forty-four".