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66761456 = 2423434219
BaseRepresentation
bin1111111010101…
…1001011110000
311122121211111112
43332223023300
5114042331311
610342532452
71440314546
oct376531360
9148554445
1066761456
1134759963
121a437128
1310aa6728
148c1bd96
155cdb28b
hex3fab2f0

66761456 has 40 divisors (see below), whose sum is σ = 138145920. Its totient is φ = 31179456.

The previous prime is 66761449. The next prime is 66761467. The reversal of 66761456 is 65416766.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13715 + ... + 17933.

It is an arithmetic number, because the mean of its divisors is an integer number (3453648).

Almost surely, 266761456 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 66761456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69072960).

66761456 is an abundant number, since it is smaller than the sum of its proper divisors (71384464).

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

66761456 is a wasteful number, since it uses less digits than its factorization.

66761456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4293 (or 4287 counting only the distinct ones).

The product of its digits is 181440, while the sum is 41.

The square root of 66761456 is about 8170.7683849195. The cubic root of 66761456 is about 405.6722179864.

The spelling of 66761456 in words is "sixty-six million, seven hundred sixty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 23 43 46 86 92 172 184 344 368 688 989 1978 3956 4219 7912 8438 15824 16876 33752 67504 97037 181417 194074 362834 388148 725668 776296 1451336 1552592 2902672 4172591 8345182 16690364 33380728 66761456