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4983432480 = 25325131914011
BaseRepresentation
bin1001010010000100…
…10010010100100000
3110212022012121012100
410221002102110200
540201224314410
62142300130400
7234331322445
oct45102222440
913768177170
104983432480
112128021644
12b70b36a00
136155aa920
14353bcb9cc
151e27828c0
hex129092520

4983432480 has 288 divisors, whose sum is σ = 19279391040. Its totient is φ = 1162045440.

The previous prime is 4983432457. The next prime is 4983432491. The reversal of 4983432480 is 842343894.

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 348675 + ... + 362685.

It is an arithmetic number, because the mean of its divisors is an integer number (66942330).

Almost surely, 24983432480 is an apocalyptic number.

4983432480 is a gapful number since it is divisible by the number (40) 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 4983432480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9639695520).

4983432480 is an abundant number, since it is smaller than the sum of its proper divisors (14295958560).

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

4983432480 is a wasteful number, since it uses less digits than its factorization.

4983432480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14064 (or 14053 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 4983432480 is about 70593.4308558523. The cubic root of 4983432480 is about 1708.0851860757.

The spelling of 4983432480 in words is "four billion, nine hundred eighty-three million, four hundred thirty-two thousand, four hundred eighty".