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66402416 = 24191131933
BaseRepresentation
bin1111110101001…
…1100001110000
311121221120222202
43331103201300
5113444334131
610331122332
71434261023
oct375234160
9147846882
1066402416
1134534133
121a2a33a8
13109ac192
148b671ba
155c69bcb
hex3f53870

66402416 has 40 divisors (see below), whose sum is σ = 136695120. Its totient is φ = 31159296.

The previous prime is 66402409. The next prime is 66402419. The reversal of 66402416 is 61420466.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66402419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33386 + ... + 35318.

It is an arithmetic number, because the mean of its divisors is an integer number (3417378).

Almost surely, 266402416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66402416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68347560).

66402416 is an abundant number, since it is smaller than the sum of its proper divisors (70292704).

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

66402416 is a wasteful number, since it uses less digits than its factorization.

66402416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 66402416 is about 8148.7677596064. The cubic root of 66402416 is about 404.9436816471.

The spelling of 66402416 in words is "sixty-six million, four hundred two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 19 38 76 113 152 226 304 452 904 1808 1933 2147 3866 4294 7732 8588 15464 17176 30928 34352 36727 73454 146908 218429 293816 436858 587632 873716 1747432 3494864 4150151 8300302 16600604 33201208 66402416