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66955152 = 24311173733
BaseRepresentation
bin1111111101101…
…0011110010000
311122222200012110
43333122132100
5114120031102
610351025320
71442052345
oct377323620
9148880173
1066955152
1134881440
121a50b240
1310b43944
148c6c7cc
155d2886c
hex3fda790

66955152 has 80 divisors (see below), whose sum is σ = 190041408. Its totient is φ = 20144640.

The previous prime is 66955111. The next prime is 66955159. The reversal of 66955152 is 25155966.

It is a self number, because there is not a number n which added to its sum of digits gives 66955152.

It is not an unprimeable number, because it can be changed into a prime (66955159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90978 + ... + 91710.

Almost surely, 266955152 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 66955152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95020704).

66955152 is an abundant number, since it is smaller than the sum of its proper divisors (123086256).

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

66955152 is a wasteful number, since it uses less digits than its factorization.

66955152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 922 counting only the distinct ones).

The product of its digits is 81000, while the sum is 39.

The square root of 66955152 is about 8182.6127856572. The cubic root of 66955152 is about 406.0641667774.

The spelling of 66955152 in words is "sixty-six million, nine hundred fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 173 176 264 346 519 528 692 733 1038 1384 1466 1903 2076 2199 2768 2932 3806 4152 4398 5709 5864 7612 8063 8304 8796 11418 11728 15224 16126 17592 22836 24189 30448 32252 35184 45672 48378 64504 91344 96756 126809 129008 193512 253618 380427 387024 507236 760854 1014472 1394899 1521708 2028944 2789798 3043416 4184697 5579596 6086832 8369394 11159192 16738788 22318384 33477576 66955152