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66152328 = 23311833019
BaseRepresentation
bin1111110001011…
…0011110001000
311121110212221020
43330112132020
5113413333303
610321512440
71432166634
oct374263610
9147425836
1066152328
1134383250
121a1a2720
13109223b8
148adddc4
155c1aa53
hex3f16788

66152328 has 64 divisors (see below), whose sum is σ = 182649600. Its totient is φ = 19798080.

The previous prime is 66152327. The next prime is 66152329. The reversal of 66152328 is 82325166.

It is an interprime number because it is at equal distance from previous prime (66152327) and next prime (66152329).

It is a super-2 number, since 2×661523282 = 8752260999639168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (66152323) 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, 20403 + ... + 23421.

It is an arithmetic number, because the mean of its divisors is an integer number (2853900).

Almost surely, 266152328 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 66152328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91324800).

66152328 is an abundant number, since it is smaller than the sum of its proper divisors (116497272).

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

66152328 is a wasteful number, since it uses less digits than its factorization.

66152328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122 (or 3118 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 66152328 is about 8133.4081417325. The cubic root of 66152328 is about 404.4346692436.

The spelling of 66152328 in words is "sixty-six million, one hundred fifty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 83 88 132 166 249 264 332 498 664 913 996 1826 1992 2739 3019 3652 5478 6038 7304 9057 10956 12076 18114 21912 24152 33209 36228 66418 72456 99627 132836 199254 250577 265672 398508 501154 751731 797016 1002308 1503462 2004616 2756347 3006924 5512694 6013848 8269041 11025388 16538082 22050776 33076164 66152328