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1948218241 = 17281407833
BaseRepresentation
bin111010000011111…
…0111001110000001
312000202220202000011
41310013313032001
512442220440431
6521153024521
766164403364
oct16407671601
95022822004
101948218241
1190a79a222
12464555141
13250816c78
14146a5a0db
15b6084cb1
hex741f7381

1948218241 has 8 divisors (see below), whose sum is σ = 2070165384. Its totient is φ = 1827087360.

The previous prime is 1948218199. The next prime is 1948218253. The reversal of 1948218241 is 1428128491.

It can be written as a sum of positive squares in 4 ways, for example, as 257281600 + 1690936641 = 16040^2 + 41121^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1948218241 - 27 = 1948218113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1948218194 and 1948218203.

It is not an unprimeable number, because it can be changed into a prime (1948218341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199140 + ... + 208693.

It is an arithmetic number, because the mean of its divisors is an integer number (258770673).

Almost surely, 21948218241 is an apocalyptic number.

It is an amenable number.

1948218241 is a deficient number, since it is larger than the sum of its proper divisors (121947143).

1948218241 is a wasteful number, since it uses less digits than its factorization.

1948218241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408131.

The product of its digits is 36864, while the sum is 40.

The square root of 1948218241 is about 44138.6252731097. The cubic root of 1948218241 is about 1248.9523469304.

The spelling of 1948218241 in words is "one billion, nine hundred forty-eight million, two hundred eighteen thousand, two hundred forty-one".

Divisors: 1 17 281 4777 407833 6933161 114601073 1948218241