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4987458000 = 2432537231721
BaseRepresentation
bin1001010010100011…
…01001000111010000
3110212120210010011200
410221101221013100
540203242124000
62142522311200
7234410456610
oct45121510720
913776703150
104987458000
11212a321018
12b72358500
13616389ca5
14354558a40
151e2cca500
hex1294691d0

4987458000 has 480 divisors, whose sum is σ = 20785669632. Its totient is φ = 1089792000.

The previous prime is 4987457987. The next prime is 4987458037. The reversal of 4987458000 is 8547894.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2897140 + ... + 2898860.

Almost surely, 24987458000 is an apocalyptic number.

4987458000 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 4987458000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10392834816).

4987458000 is an abundant number, since it is smaller than the sum of its proper divisors (15798211632).

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

4987458000 is a wasteful number, since it uses less digits than its factorization.

4987458000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 4987458000 is about 70621.9371017250. The cubic root of 4987458000 is about 1708.5449816431.

The spelling of 4987458000 in words is "four billion, nine hundred eighty-seven million, four hundred fifty-eight thousand".