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482708736 = 2832535967
BaseRepresentation
bin11100110001011…
…000110100000000
31020122022010220100
4130301120310000
51442033134421
6115522042400
714650646046
oct3461306400
91218263810
10482708736
11228527244
121157a9400
137900c893
1448174396
152c59ec26
hex1cc58d00

482708736 has 216 divisors, whose sum is σ = 1463585760. Its totient is φ = 152875008.

The previous prime is 482708731. The next prime is 482708783. The reversal of 482708736 is 637807284.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 482708691 and 482708700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482708731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7204575 + ... + 7204641.

It is an arithmetic number, because the mean of its divisors is an integer number (6775860).

Almost surely, 2482708736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482708736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731792880).

482708736 is an abundant number, since it is smaller than the sum of its proper divisors (980877024).

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

482708736 is a wasteful number, since it uses less digits than its factorization.

482708736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 482708736 is about 21970.6334910944. The cubic root of 482708736 is about 784.4435918091.

The spelling of 482708736 in words is "four hundred eighty-two million, seven hundred eight thousand, seven hundred thirty-six".