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66152152 = 23112371847
BaseRepresentation
bin1111110001011…
…0011011011000
311121110212200201
43330112123120
5113413332102
610321511544
71432166263
oct374263330
9147425621
1066152152
1134383100
121a1a25b4
13109222b1
148addcda
155c1a987
hex3f166d8

66152152 has 48 divisors (see below), whose sum is σ = 140096880. Its totient is φ = 29240640.

The previous prime is 66152111. The next prime is 66152153. The reversal of 66152152 is 25125166.

It is a super-2 number, since 2×661521522 = 8752214428462208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66152152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66152153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34893 + ... + 36739.

It is an arithmetic number, because the mean of its divisors is an integer number (2918685).

Almost surely, 266152152 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 66152152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70048440).

66152152 is an abundant number, since it is smaller than the sum of its proper divisors (73944728).

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

66152152 is a wasteful number, since it uses less digits than its factorization.

66152152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1897 counting only the distinct ones).

The product of its digits is 3600, while the sum is 28.

The square root of 66152152 is about 8133.3973221527. The cubic root of 66152152 is about 404.4343105736.

The spelling of 66152152 in words is "sixty-six million, one hundred fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 37 44 74 88 121 148 242 296 407 484 814 968 1628 1847 3256 3694 4477 7388 8954 14776 17908 20317 35816 40634 68339 81268 136678 162536 223487 273356 446974 546712 751729 893948 1503458 1787896 3006916 6013832 8269019 16538038 33076076 66152152