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66442446 = 232723101227
BaseRepresentation
bin1111110101110…
…1010011001110
311122000121220100
43331131103032
5114002124241
610332031530
71434515520
oct375352316
9148017810
1066442446
1134561214
121a3025a6
13109c4475
148b77a10
155c769b6
hex3f5d4ce

66442446 has 96 divisors (see below), whose sum is σ = 174140928. Its totient is φ = 17899200.

The previous prime is 66442433. The next prime is 66442471. The reversal of 66442446 is 64424466.

It is a happy number.

66442446 is a `hidden beast` number, since 6 + 644 + 2 + 4 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 66442446.

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 47 ways as a sum of consecutive naturals, for example, 292585 + ... + 292811.

It is an arithmetic number, because the mean of its divisors is an integer number (1813968).

Almost surely, 266442446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66442446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87070464).

66442446 is an abundant number, since it is smaller than the sum of its proper divisors (107698482).

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

66442446 is a wasteful number, since it uses less digits than its factorization.

66442446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 363 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 66442446 is about 8151.2235891307. The cubic root of 66442446 is about 405.0250373182.

The spelling of 66442446 in words is "sixty-six million, four hundred forty-two thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 101 126 138 161 202 207 227 303 322 414 454 483 606 681 707 909 966 1362 1414 1449 1589 1818 2043 2121 2323 2898 3178 4086 4242 4646 4767 5221 6363 6969 9534 10442 12726 13938 14301 15663 16261 20907 22927 28602 31326 32522 36547 41814 45854 46989 48783 68781 73094 93978 97566 109641 137562 146349 160489 206343 219282 292698 320978 328923 412686 481467 527321 657846 962934 1054642 1444401 1581963 2888802 3163926 3691247 4745889 7382494 9491778 11073741 22147482 33221223 66442446