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66253056 = 283281307
BaseRepresentation
bin1111110010111…
…1000100000000
311121200000002220
43330233010000
5113430044211
610324011040
71433066412
oct374570400
9147600086
1066253056
11344419a1
121a230a80
13109591bc
148b289b2
155c3a806
hex3f2f100

66253056 has 72 divisors (see below), whose sum is σ = 177533664. Its totient is φ = 21934080.

The previous prime is 66253043. The next prime is 66253079. The reversal of 66253056 is 65035266.

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, 215655 + ... + 215961.

Almost surely, 266253056 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 66253056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88766832).

66253056 is an abundant number, since it is smaller than the sum of its proper divisors (111280608).

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

66253056 is a wasteful number, since it uses less digits than its factorization.

66253056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 66253056 is about 8139.5980244727. The cubic root of 66253056 is about 404.6398383199.

The spelling of 66253056 in words is "sixty-six million, two hundred fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 281 307 384 562 614 768 843 921 1124 1228 1686 1842 2248 2456 3372 3684 4496 4912 6744 7368 8992 9824 13488 14736 17984 19648 26976 29472 35968 39296 53952 58944 71936 78592 86267 107904 117888 172534 215808 235776 258801 345068 517602 690136 1035204 1380272 2070408 2760544 4140816 5521088 8281632 11042176 16563264 22084352 33126528 66253056