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66416652 = 22331573917
BaseRepresentation
bin1111110101011…
…1000000001100
311121222022112000
43331113000030
5114000313102
610331312300
71434350361
oct375270014
9147868460
1066416652
11345438a5
121a2ab690
13109b57c3
148b6c468
155c6e01c
hex3f5700c

66416652 has 48 divisors (see below), whose sum is σ = 173332320. Its totient is φ = 21992256.

The previous prime is 66416633. The next prime is 66416659. The reversal of 66416652 is 25661466.

It is a happy number.

66416652 is a `hidden beast` number, since 6 + 641 + 6 + 6 + 5 + 2 = 666.

66416652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×664166522 = 8822343325778208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66416659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14998 + ... + 18914.

It is an arithmetic number, because the mean of its divisors is an integer number (3611090).

Almost surely, 266416652 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 66416652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86666160).

66416652 is an abundant number, since it is smaller than the sum of its proper divisors (106915668).

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

66416652 is a wasteful number, since it uses less digits than its factorization.

66416652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087 (or 4079 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 66416652 is about 8149.6412190967. The cubic root of 66416652 is about 404.9726181762.

The spelling of 66416652 in words is "sixty-six million, four hundred sixteen thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 157 314 471 628 942 1413 1884 2826 3917 4239 5652 7834 8478 11751 15668 16956 23502 35253 47004 70506 105759 141012 211518 423036 614969 1229938 1844907 2459876 3689814 5534721 7379628 11069442 16604163 22138884 33208326 66416652