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266828004 = 22327411889
BaseRepresentation
bin11111110011101…
…11100011100100
3200121002021012200
433321313203210
51021301444004
642251014500
76420000132
oct1771674344
9617067180
10266828004
11127687913
127543a430
13433850c1
142761a752
151865a239
hexfe778e4

266828004 has 18 divisors (see below), whose sum is σ = 674481990. Its totient is φ = 88942656.

The previous prime is 266827993. The next prime is 266828017. The reversal of 266828004 is 400828662.

It can be written as a sum of positive squares in only one way, i.e., 263412900 + 3415104 = 16230^2 + 1848^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 7411889 = 266828004 / (2 + 6 + 6 + 8 + 2 + 8 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 266828004.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3705909 + ... + 3705980.

Almost surely, 2266828004 is an apocalyptic number.

It is an amenable number.

266828004 is an abundant number, since it is smaller than the sum of its proper divisors (407653986).

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

266828004 is a wasteful number, since it uses less digits than its factorization.

266828004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7411899 (or 7411894 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 266828004 is about 16334.8707983871. The cubic root of 266828004 is about 643.7893714695.

The spelling of 266828004 in words is "two hundred sixty-six million, eight hundred twenty-eight thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 7411889 14823778 22235667 29647556 44471334 66707001 88942668 133414002 266828004