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468852660 = 223252604737
BaseRepresentation
bin11011111100100…
…001111110110100
31012200020011221100
4123330201332310
51430011241120
6114305050100
714422116243
oct3374417664
91180204840
10468852660
11220722a41
12111026930
137619ab13
14463a895a
152b264490
hex1bf21fb4

468852660 has 36 divisors (see below), whose sum is σ = 1422186948. Its totient is φ = 125027328.

The previous prime is 468852653. The next prime is 468852679. The reversal of 468852660 is 66258864.

468852660 is a `hidden beast` number, since 4 + 68 + 8 + 526 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 186814224 + 282038436 = 13668^2 + 16794^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1302189 + ... + 1302548.

It is an arithmetic number, because the mean of its divisors is an integer number (39505193).

Almost surely, 2468852660 is an apocalyptic number.

It is an amenable number.

468852660 is an abundant number, since it is smaller than the sum of its proper divisors (953334288).

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

468852660 is a wasteful number, since it uses less digits than its factorization.

468852660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604752 (or 2604747 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 468852660 is about 21653.0057959628. The cubic root of 468852660 is about 776.8648314138.

The spelling of 468852660 in words is "four hundred sixty-eight million, eight hundred fifty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2604737 5209474 7814211 10418948 13023685 15628422 23442633 26047370 31256844 39071055 46885266 52094740 78142110 93770532 117213165 156284220 234426330 468852660