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66884608 = 210723143
BaseRepresentation
bin1111111100100…
…1010000000000
311122212002102201
43333021100000
5114110301413
610345322544
71441336600
oct377112000
9148762381
1066884608
113483343a
121a496454
1310b1a7bb
148c50c00
155d129dd
hex3fc9400

66884608 has 132 divisors (see below), whose sum is σ = 164284032. Its totient is φ = 27095040.

The previous prime is 66884591. The next prime is 66884663. The reversal of 66884608 is 80648866.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1555435 + ... + 1555477.

It is an arithmetic number, because the mean of its divisors is an integer number (1244576).

Almost surely, 266884608 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 66884608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82142016).

66884608 is an abundant number, since it is smaller than the sum of its proper divisors (97399424).

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

66884608 is a wasteful number, since it uses less digits than its factorization.

66884608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The square root of 66884608 is about 8178.3010460609. The cubic root of 66884608 is about 405.9215068233.

The spelling of 66884608 in words is "sixty-six million, eight hundred eighty-four thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 43 49 56 62 64 86 98 112 124 128 172 196 217 224 248 256 301 344 392 434 448 496 512 602 688 784 868 896 992 1024 1204 1333 1376 1519 1568 1736 1792 1984 2107 2408 2666 2752 3038 3136 3472 3584 3968 4214 4816 5332 5504 6076 6272 6944 7168 7936 8428 9331 9632 10664 11008 12152 12544 13888 15872 16856 18662 19264 21328 22016 24304 25088 27776 31744 33712 37324 38528 42656 44032 48608 50176 55552 65317 67424 74648 77056 85312 97216 111104 130634 134848 149296 154112 170624 194432 222208 261268 269696 298592 308224 341248 388864 522536 539392 597184 682496 777728 1045072 1078784 1194368 1364992 1555456 2090144 2157568 2388736 4180288 4777472 8360576 9554944 16721152 33442304 66884608