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66830244 = 223135359137
BaseRepresentation
bin1111111011101…
…1111110100100
311122202022212020
43332323332210
5114102031434
610344223140
71441022235
oct376737644
9148668766
1066830244
11347a6608
121a46aab0
1310acbb30
148c3908c
155d01849
hex3fbbfa4

66830244 has 96 divisors (see below), whose sum is σ = 175271040. Its totient is φ = 19688448.

The previous prime is 66830237. The next prime is 66830261. The reversal of 66830244 is 44203866.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487744 + ... + 487880.

It is an arithmetic number, because the mean of its divisors is an integer number (1825740).

Almost surely, 266830244 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 66830244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87635520).

66830244 is an abundant number, since it is smaller than the sum of its proper divisors (108440796).

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

66830244 is a wasteful number, since it uses less digits than its factorization.

66830244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 66830244 is about 8174.9766972145. The cubic root of 66830244 is about 405.8114989605.

The spelling of 66830244 in words is "sixty-six million, eight hundred thirty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 59 78 106 118 137 156 159 177 212 236 274 318 354 411 548 636 689 708 767 822 1378 1534 1644 1781 2067 2301 2756 3068 3127 3562 4134 4602 5343 6254 7124 7261 8083 8268 9204 9381 10686 12508 14522 16166 18762 21372 21783 24249 29044 32332 37524 40651 43566 48498 81302 87132 94393 96996 105079 121953 162604 188786 210158 243906 283179 315237 377572 420316 428399 487812 566358 630474 856798 1132716 1260948 1285197 1713596 2570394 5140788 5569187 11138374 16707561 22276748 33415122 66830244