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48832000417 = 613709215833
BaseRepresentation
bin101101011110100111…
…010011000110100001
311200001012000122102001
4231132213103012201
51300001443003132
634233315124001
73346050104104
oct553647230641
9150035018361
1048832000417
1119789433742
1295698a3601
1347b2aa0c05
14251357073b
15140c07ace7
hexb5e9d31a1

48832000417 has 8 divisors (see below), whose sum is σ = 49646136680. Its totient is φ = 48018303360.

The previous prime is 48832000411. The next prime is 48832000423. The reversal of 48832000417 is 71400023884.

It is an interprime number because it is at equal distance from previous prime (48832000411) and next prime (48832000423).

It can be written as a sum of positive squares in 4 ways, for example, as 421439841 + 48410560576 = 20529^2 + 220024^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-48832000417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48832000411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118333 + ... + 334165.

It is an arithmetic number, because the mean of its divisors is an integer number (6205767085).

Almost surely, 248832000417 is an apocalyptic number.

It is an amenable number.

48832000417 is a deficient number, since it is larger than the sum of its proper divisors (814136263).

48832000417 is a wasteful number, since it uses less digits than its factorization.

48832000417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219603.

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 48832000417 in words is "forty-eight billion, eight hundred thirty-two million, four hundred seventeen", and thus it is an aban number.

Divisors: 1 61 3709 215833 226249 13165813 800524597 48832000417