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66440416 = 2571967233
BaseRepresentation
bin1111110101110…
…0110011100000
311122000112010011
43331130303200
5114002043131
610332014304
71434506560
oct375346340
9148015104
1066440416
113455a739
121a301394
13109c3573
148b76da0
155c760b1
hex3f5cce0

66440416 has 96 divisors (see below), whose sum is σ = 160392960. Its totient is φ = 26459136.

The previous prime is 66440401. The next prime is 66440447. The reversal of 66440416 is 61404466.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285036 + ... + 285268.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 266440416 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 66440416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

66440416 is an abundant number, since it is smaller than the sum of its proper divisors (93952544).

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

66440416 is a wasteful number, since it uses less digits than its factorization.

66440416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 66440416 is about 8151.0990669970. The cubic root of 66440416 is about 405.0209123988.

The spelling of 66440416 in words is "sixty-six million, four hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 67 76 112 133 134 152 224 233 266 268 304 466 469 532 536 608 932 938 1064 1072 1273 1631 1864 1876 2128 2144 2546 3262 3728 3752 4256 4427 5092 6524 7456 7504 8854 8911 10184 13048 15008 15611 17708 17822 20368 26096 30989 31222 35416 35644 40736 52192 61978 62444 70832 71288 109277 123956 124888 141664 142576 218554 247912 249776 285152 296609 437108 495824 499552 593218 874216 991648 1186436 1748432 2076263 2372872 3496864 4152526 4745744 8305052 9491488 16610104 33220208 66440416