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66922848 = 253425819
BaseRepresentation
bin1111111101001…
…0100101100000
311122221000220000
43333102211200
5114113012343
610350220000
71441556226
oct377224540
9148830800
1066922848
113485a143
121a4b4600
1310b32025
148c60b16
155d1ded3
hex3fd2960

66922848 has 60 divisors (see below), whose sum is σ = 196825860. Its totient is φ = 22306752.

The previous prime is 66922841. The next prime is 66922853. The reversal of 66922848 is 84822966.

It is a super-2 number, since 2×669228482 = 8957335168862208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66922841) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10318 + ... + 15501.

It is an arithmetic number, because the mean of its divisors is an integer number (3280431).

Almost surely, 266922848 is an apocalyptic number.

It is an amenable number.

66922848 is an abundant number, since it is smaller than the sum of its proper divisors (129903012).

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

66922848 is a wasteful number, since it uses less digits than its factorization.

66922848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25841 (or 25824 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 66922848 is about 8180.6386058791. The cubic root of 66922848 is about 405.9988513803.

The spelling of 66922848 in words is "sixty-six million, nine hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 25819 51638 77457 103276 154914 206552 232371 309828 413104 464742 619656 697113 826208 929484 1239312 1394226 1858968 2091339 2478624 2788452 3717936 4182678 5576904 7435872 8365356 11153808 16730712 22307616 33461424 66922848