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66251416 = 23711131821
BaseRepresentation
bin1111110010111…
…0101010011000
311121122220212011
43330232222120
5113430021131
610323555304
71433061550
oct374565230
9147586764
1066251416
1134440740
121a22bb34
131095852a
148b28160
155c3a0b1
hex3f2ea98

66251416 has 64 divisors (see below), whose sum is σ = 156245760. Its totient is φ = 25584000.

The previous prime is 66251413. The next prime is 66251441. The reversal of 66251416 is 61415266.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66251411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80286 + ... + 81106.

It is an arithmetic number, because the mean of its divisors is an integer number (2441340).

Almost surely, 266251416 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 66251416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78122880).

66251416 is an abundant number, since it is smaller than the sum of its proper divisors (89994344).

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

66251416 is a wasteful number, since it uses less digits than its factorization.

66251416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 972 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 66251416 is about 8139.4972817736. The cubic root of 66251416 is about 404.6364995314.

The spelling of 66251416 in words is "sixty-six million, two hundred fifty-one thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 131 154 262 308 524 616 821 917 1048 1441 1642 1834 2882 3284 3668 5747 5764 6568 7336 9031 10087 11494 11528 18062 20174 22988 36124 40348 45976 63217 72248 80696 107551 126434 215102 252868 430204 505736 752857 860408 1183061 1505714 2366122 3011428 4732244 6022856 8281427 9464488 16562854 33125708 66251416