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5430462048 = 25331117192961
BaseRepresentation
bin1010000111010111…
…00100011001100000
3112000110101001111000
411003223210121200
542110144241143
62254505352000
7251400110604
oct50353443140
915013331430
105430462048
112337399570
121076798600
136870a756b
14397315504
1521bb35bd3
hex143ae4660

5430462048 has 768 divisors, whose sum is σ = 20248704000. Its totient is φ = 1393459200.

The previous prime is 5430462041. The next prime is 5430462049. The reversal of 5430462048 is 8402640345.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5430462041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89023938 + ... + 89023998.

It is an arithmetic number, because the mean of its divisors is an integer number (26365500).

Almost surely, 25430462048 is an apocalyptic number.

5430462048 is a gapful number since it is divisible by the number (58) 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 5430462048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10124352000).

5430462048 is an abundant number, since it is smaller than the sum of its proper divisors (14818241952).

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

5430462048 is a wasteful number, since it uses less digits than its factorization.

5430462048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 5430462048 is about 73691.6687828414. The cubic root of 5430462048 is about 1757.7034060324.

The spelling of 5430462048 in words is "five billion, four hundred thirty million, four hundred sixty-two thousand, forty-eight".