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948820001 is a prime number
BaseRepresentation
bin111000100011011…
…101100000100001
32110010101001100112
4320203131200201
53420344220001
6234052301105
732340560033
oct7043354041
92403331315
10948820001
11447647568
12225911795
1312175a96c
1490027c53
1558471cbb
hex388dd821

948820001 has 2 divisors, whose sum is σ = 948820002. Its totient is φ = 948820000.

The previous prime is 948819961. The next prime is 948820003. The reversal of 948820001 is 100028849.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 875272225 + 73547776 = 29585^2 + 8576^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-948820001 is a prime.

Together with 948820003, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 948820001.

It is not a weakly prime, because it can be changed into another prime (948820003) by changing a digit.

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 as a sum of consecutive naturals, namely, 474410000 + 474410001.

It is an arithmetic number, because the mean of its divisors is an integer number (474410001).

Almost surely, 2948820001 is an apocalyptic number.

It is an amenable number.

948820001 is a deficient number, since it is larger than the sum of its proper divisors (1).

948820001 is an equidigital number, since it uses as much as digits as its factorization.

948820001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 948820001 is about 30802.9219555548. The cubic root of 948820001 is about 982.6403880135.

The spelling of 948820001 in words is "nine hundred forty-eight million, eight hundred twenty thousand, one".