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4630515840 = 2732519291459
BaseRepresentation
bin1000101000000000…
…00001000010000000
3102221201010120120200
410110000001002000
533440403001330
62043252005200
7222514510116
oct42400010200
912851116520
104630515840
111a668950a5
12a92900800
1358a443002
1431cda1ab6
151c17bea60
hex114001080

4630515840 has 384 divisors, whose sum is σ = 17423640000. Its totient is φ = 1128701952.

The previous prime is 4630515823. The next prime is 4630515847. The reversal of 4630515840 is 485150364.

It is a happy number.

4630515840 is a `hidden beast` number, since 4 + 63 + 0 + 515 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 4630515795 and 4630515804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4630515847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3173031 + ... + 3174489.

Almost surely, 24630515840 is an apocalyptic number.

4630515840 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 4630515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8711820000).

4630515840 is an abundant number, since it is smaller than the sum of its proper divisors (12793124160).

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

4630515840 is a wasteful number, since it uses less digits than its factorization.

4630515840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4630515840 is about 68047.8937219955. The cubic root of 4630515840 is about 1666.7730051262.

The spelling of 4630515840 in words is "four billion, six hundred thirty million, five hundred fifteen thousand, eight hundred forty".