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66289344 = 2631131387
BaseRepresentation
bin1111110011011…
…1111011000000
311121201211212220
43330313323000
5113432224334
610324451040
71433310252
oct374677300
9147654786
1066289344
1134467190
121a249a80
131096c884
148b37cd2
155c46449
hex3f37ec0

66289344 has 56 divisors (see below), whose sum is σ = 191341248. Its totient is φ = 20087040.

The previous prime is 66289343. The next prime is 66289369. The reversal of 66289344 is 44398266.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 66289296 and 66289305.

It is not an unprimeable number, because it can be changed into a prime (66289343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13582 + ... + 17805.

It is an arithmetic number, because the mean of its divisors is an integer number (3416808).

Almost surely, 266289344 is an apocalyptic number.

66289344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

66289344 is an abundant number, since it is smaller than the sum of its proper divisors (125051904).

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

66289344 is a wasteful number, since it uses less digits than its factorization.

66289344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31413 (or 31403 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 66289344 is about 8141.8268220345. The cubic root of 66289344 is about 404.7137010282.

The spelling of 66289344 in words is "sixty-six million, two hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 31387 62774 94161 125548 188322 251096 345257 376644 502192 690514 753288 1004384 1035771 1381028 1506576 2008768 2071542 2762056 3013152 4143084 5524112 6026304 8286168 11048224 16572336 22096448 33144672 66289344