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66404352 = 21437193
BaseRepresentation
bin1111110101010…
…0000000000000
311121221200122110
43331110000000
5113444414402
610331135320
71434266460
oct375240000
9147850573
1066404352
1134535633
121a2a4540
13109b0021
148b67ba0
155c6a56c
hex3f54000

66404352 has 120 divisors (see below), whose sum is σ = 203417536. Its totient is φ = 18874368.

The previous prime is 66404347. The next prime is 66404353. The reversal of 66404352 is 25340466.

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66404353) 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, 343968 + ... + 344160.

Almost surely, 266404352 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 66404352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101708768).

66404352 is an abundant number, since it is smaller than the sum of its proper divisors (137013184).

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

66404352 is an equidigital number, since it uses as much as digits as its factorization.

66404352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 66404352 is about 8148.8865497073. The cubic root of 66404352 is about 404.9476170629.

The spelling of 66404352 in words is "sixty-six million, four hundred four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 193 224 256 336 384 386 448 512 579 672 768 772 896 1024 1158 1344 1351 1536 1544 1792 2048 2316 2688 2702 3072 3088 3584 4053 4096 4632 5376 5404 6144 6176 7168 8106 8192 9264 10752 10808 12288 12352 14336 16212 16384 18528 21504 21616 24576 24704 28672 32424 37056 43008 43232 49152 49408 57344 64848 74112 86016 86464 98816 114688 129696 148224 172032 172928 197632 259392 296448 344064 345856 395264 518784 592896 691712 790528 1037568 1185792 1383424 1581056 2075136 2371584 2766848 3162112 4150272 4743168 5533696 8300544 9486336 11067392 16601088 22134784 33202176 66404352