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66413448 = 23327091301
BaseRepresentation
bin1111110101011…
…0001110001000
311121222011010100
43331112032020
5114000212243
610331245400
71434335133
oct375261610
9147864110
1066413448
1134541452
121a2a9860
13109b41ca
148b6b21a
155c6d0d3
hex3f56388

66413448 has 48 divisors (see below), whose sum is σ = 180261900. Its totient is φ = 22089600.

The previous prime is 66413447. The next prime is 66413453. The reversal of 66413448 is 84431466.

66413448 is a `hidden beast` number, since 6 + 641 + 3 + 4 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46539684 + 19873764 = 6822^2 + 4458^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (66413447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50398 + ... + 51698.

Almost surely, 266413448 is an apocalyptic number.

It is an amenable number.

66413448 is an abundant number, since it is smaller than the sum of its proper divisors (113848452).

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

66413448 is a wasteful number, since it uses less digits than its factorization.

66413448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2015 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 66413448 is about 8149.4446436552. Note that the first 3 decimals coincide. The cubic root of 66413448 is about 404.9661059884.

The spelling of 66413448 in words is "sixty-six million, four hundred thirteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 709 1301 1418 2127 2602 2836 3903 4254 5204 5672 6381 7806 8508 10408 11709 12762 15612 17016 23418 25524 31224 46836 51048 93672 922409 1844818 2767227 3689636 5534454 7379272 8301681 11068908 16603362 22137816 33206724 66413448