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5430042624 = 21331741317
BaseRepresentation
bin1010000111010011…
…11110000000000000
3112000102120202010210
411003221332000000
542110042330444
62254452354120
7251363413026
oct50351760000
915012522123
105430042624
112337132436
121076615940
13686c8b696
14397246716
1521baa17b9
hex143a7e000

5430042624 has 224 divisors, whose sum is σ = 15754417056. Its totient is φ = 1656750080.

The previous prime is 5430042593. The next prime is 5430042647. The reversal of 5430042624 is 4262400345.

It is a junction number, because it is equal to n+sod(n) for n = 5430042591 and 5430042600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17129314 + ... + 17129630.

It is an arithmetic number, because the mean of its divisors is an integer number (70332219).

Almost surely, 25430042624 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 5430042624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7877208528).

5430042624 is an abundant number, since it is smaller than the sum of its proper divisors (10324374432).

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

5430042624 is a wasteful number, since it uses less digits than its factorization.

5430042624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 5430042624 is about 73688.8229245114. The cubic root of 5430042624 is about 1757.6581525489.

Adding to 5430042624 its reverse (4262400345), we get a palindrome (9692442969).

The spelling of 5430042624 in words is "five billion, four hundred thirty million, forty-two thousand, six hundred twenty-four".