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66414452 = 22135572293
BaseRepresentation
bin1111110101011…
…0011101110100
311121222012111112
43331112131310
5114000230302
610331254152
71434341066
oct375263564
9147865445
1066414452
1134542185
121a2aa358
13109b47c0
148b6b736
155c6d552
hex3f56774

66414452 has 24 divisors (see below), whose sum is σ = 125445096. Its totient is φ = 30584448.

The previous prime is 66414419. The next prime is 66414473. The reversal of 66414452 is 25441466.

It can be written as a sum of positive squares in 4 ways, for example, as 1547536 + 64866916 = 1244^2 + 8054^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27818 + ... + 30110.

It is an arithmetic number, because the mean of its divisors is an integer number (5226879).

Almost surely, 266414452 is an apocalyptic number.

It is an amenable number.

66414452 is a deficient number, since it is larger than the sum of its proper divisors (59030644).

66414452 is a wasteful number, since it uses less digits than its factorization.

66414452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2865 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 66414452 is about 8149.5062427119. The cubic root of 66414452 is about 404.9681466590.

It can be divided in two parts, 66414 and 452, that added together give a palindrome (66866).

The spelling of 66414452 in words is "sixty-six million, four hundred fourteen thousand, four hundred fifty-two".

Divisors: 1 2 4 13 26 52 557 1114 2228 2293 4586 7241 9172 14482 28964 29809 59618 119236 1277201 2554402 5108804 16603613 33207226 66414452