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66540042 = 234410741
BaseRepresentation
bin1111110111010…
…1001000001010
311122012120210000
43331311020022
5114013240132
610334103430
71435403202
oct375651012
9148176700
1066540042
1134618578
121a34ab76
1310a29a0a
148ba1402
155c9587c
hex3f7520a

66540042 has 20 divisors (see below), whose sum is σ = 149099346. Its totient is φ = 22179960.

The previous prime is 66540029. The next prime is 66540053. The reversal of 66540042 is 24004566.

It is a happy number.

66540042 is a `hidden beast` number, since 6 + 654 + 0 + 0 + 4 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62583921 + 3956121 = 7911^2 + 1989^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 66539988 and 66540015.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 205209 + ... + 205532.

Almost surely, 266540042 is an apocalyptic number.

66540042 is an abundant number, since it is smaller than the sum of its proper divisors (82559304).

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

66540042 is a wasteful number, since it uses less digits than its factorization.

66540042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410755 (or 410746 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 66540042 is about 8157.2079782239. The cubic root of 66540042 is about 405.2232513983.

The spelling of 66540042 in words is "sixty-six million, five hundred forty thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 410741 821482 1232223 2464446 3696669 7393338 11090007 22180014 33270021 66540042