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68825664 = 2632119489
BaseRepresentation
bin1000001101000…
…11001001000000
311210111201001200
410012203021000
5120104410124
610455101200
71464002625
oct406431100
9153451050
1068825664
1135939816
121b071800
131134a15b
1491d834c
156097bc9
hex41a3240

68825664 has 42 divisors (see below), whose sum is σ = 197277990. Its totient is φ = 22941696.

The previous prime is 68825651. The next prime is 68825737. The reversal of 68825664 is 46652886.

68825664 is a `hidden beast` number, since 6 + 8 + 82 + 566 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49112064 + 19713600 = 7008^2 + 4440^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59169 + ... + 60320.

It is an arithmetic number, because the mean of its divisors is an integer number (4697095).

Almost surely, 268825664 is an apocalyptic number.

68825664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

68825664 is an abundant number, since it is smaller than the sum of its proper divisors (128452326).

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

68825664 is a wasteful number, since it uses less digits than its factorization.

68825664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119507 (or 119494 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 68825664 is about 8296.1234320615. The cubic root of 68825664 is about 409.8108665633.

The spelling of 68825664 in words is "sixty-eight million, eight hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 119489 238978 358467 477956 716934 955912 1075401 1433868 1911824 2150802 2867736 3823648 4301604 5735472 7647296 8603208 11470944 17206416 22941888 34412832 68825664