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66957088 = 2511223853
BaseRepresentation
bin1111111101101…
…0111100100000
311122222202212011
43333122330200
5114120111323
610351042304
71442061112
oct377327440
9148882764
1066957088
1134882940
121a510394
1310b447a3
148c6d3b2
155d2920d
hex3fdaf20

66957088 has 48 divisors (see below), whose sum is σ = 144619776. Its totient is φ = 30263040.

The previous prime is 66957061. The next prime is 66957097. The reversal of 66957088 is 88075966.

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, 78070 + ... + 78922.

It is an arithmetic number, because the mean of its divisors is an integer number (3012912).

Almost surely, 266957088 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 66957088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72309888).

66957088 is an abundant number, since it is smaller than the sum of its proper divisors (77662688).

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

66957088 is a wasteful number, since it uses less digits than its factorization.

66957088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The square root of 66957088 is about 8182.7310844241. The cubic root of 66957088 is about 406.0680805049.

The spelling of 66957088 in words is "sixty-six million, nine hundred fifty-seven thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 223 352 446 853 892 1706 1784 2453 3412 3568 4906 6824 7136 9383 9812 13648 18766 19624 27296 37532 39248 75064 78496 150128 190219 300256 380438 760876 1521752 2092409 3043504 4184818 6087008 8369636 16739272 33478544 66957088