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4786280640 = 2632517293371
BaseRepresentation
bin1000111010100100…
…01101100011000000
3110100120020020201100
410131102031203000
534300241440030
62110534334400
7226415466651
oct43522154300
913316206640
104786280640
112036804539
12b16aba400
135b37acb2b
1433594b528
151d02dc360
hex11d48d8c0

4786280640 has 336 divisors, whose sum is σ = 18037637280. Its totient is φ = 1159495680.

The previous prime is 4786280567. The next prime is 4786280663. The reversal of 4786280640 is 460826874.

4786280640 is a `hidden beast` number, since 478 + 62 + 80 + 6 + 40 = 666.

It is a super-3 number, since 3×47862806403 (a number of 30 digits) contains 333 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 1418155 + ... + 1421525.

Almost surely, 24786280640 is an apocalyptic number.

4786280640 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 4786280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9018818640).

4786280640 is an abundant number, since it is smaller than the sum of its proper divisors (13251356640).

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

4786280640 is a wasteful number, since it uses less digits than its factorization.

4786280640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4786280640 is about 69182.9505008279. The cubic root of 4786280640 is about 1685.2566641692.

The spelling of 4786280640 in words is "four billion, seven hundred eighty-six million, two hundred eighty thousand, six hundred forty".