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74668608 = 263376173
BaseRepresentation
bin1000111001101…
…01101001000000
312012111120002000
410130311221000
5123103343413
611224224000
71564446510
oct434655100
9165446060
1074668608
113916a6a3
122100b000
1312614811
149cb9840
15684e073
hex4735a40

74668608 has 112 divisors (see below), whose sum is σ = 250911360. Its totient is φ = 21330432.

The previous prime is 74668589. The next prime is 74668609. The reversal of 74668608 is 80686647.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (74668609) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9010 + ... + 15182.

It is an arithmetic number, because the mean of its divisors is an integer number (2240280).

Almost surely, 274668608 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 74668608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125455680).

74668608 is an abundant number, since it is smaller than the sum of its proper divisors (176242752).

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

74668608 is a wasteful number, since it uses less digits than its factorization.

74668608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6201 (or 6185 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 74668608 is about 8641.0999299858. The cubic root of 74668608 is about 421.0942892643.

The spelling of 74668608 in words is "seventy-four million, six hundred sixty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 6173 12096 12346 18519 24692 37038 43211 49384 55557 74076 86422 98768 111114 129633 148152 166671 172844 197536 222228 259266 296304 333342 345688 388899 395072 444456 518532 592608 666684 691376 777798 888912 1037064 1166697 1185216 1333368 1382752 1555596 1777824 2074128 2333394 2666736 2765504 3111192 3555648 4148256 4666788 5333472 6222384 8296512 9333576 10666944 12444768 18667152 24889536 37334304 74668608