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530749440 = 21132513443
BaseRepresentation
bin11111101000101…
…001100000000000
31100222200212100200
4133220221200000
52041332440230
6124355445200
716103203314
oct3750514000
91328625320
10530749440
11252659a01
121298b6800
1385c60230
14506bbb44
15318de160
hex1fa29800

530749440 has 288 divisors, whose sum is σ = 1985452560. Its totient is φ = 130351104.

The previous prime is 530749433. The next prime is 530749459. The reversal of 530749440 is 44947035.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 530749395 and 530749404.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1197859 + ... + 1198301.

Almost surely, 2530749440 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 530749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992726280).

530749440 is an abundant number, since it is smaller than the sum of its proper divisors (1454703120).

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

530749440 is a wasteful number, since it uses less digits than its factorization.

530749440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 530749440 is about 23037.9999131869. Note that the first 4 decimals coincide. The cubic root of 530749440 is about 809.6484986075.

The spelling of 530749440 in words is "five hundred thirty million, seven hundred forty-nine thousand, four hundred forty".