Search a number
-
+
66786804 = 22327237861
BaseRepresentation
bin1111111011000…
…1010111110100
311122200010021100
43332301113310
5114044134204
610343250100
71440451500
oct376612764
9148603240
1066786804
1134776a07
121a449930
1310ab5126
148c27300
155ce3a39
hex3fb15f4

66786804 has 54 divisors (see below), whose sum is σ = 196390194. Its totient is φ = 19081440.

The previous prime is 66786799. The next prime is 66786851. The reversal of 66786804 is 40868766.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 66389904 + 396900 = 8148^2 + 630^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66786804.

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 17 ways as a sum of consecutive naturals, for example, 17167 + ... + 20694.

Almost surely, 266786804 is an apocalyptic number.

It is an amenable number.

66786804 is an abundant number, since it is smaller than the sum of its proper divisors (129603390).

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

66786804 is a wasteful number, since it uses less digits than its factorization.

66786804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37885 (or 37873 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 66786804 is about 8172.3193770190. The cubic root of 66786804 is about 405.7235533869.

The spelling of 66786804 in words is "sixty-six million, seven hundred eighty-six thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 37861 75722 113583 151444 227166 265027 340749 454332 530054 681498 795081 1060108 1362996 1590162 1855189 2385243 3180324 3710378 4770486 5565567 7420756 9540972 11131134 16696701 22262268 33393402 66786804