Search a number
-
+
66959226 = 232171271723
BaseRepresentation
bin1111111101101…
…1011101111010
311122222212210100
43333123131322
5114120143401
610351100230
71442100255
oct377333572
9148885710
1066959226
1134884504
121a511676
1310b45759
148c7009c
155d29b86
hex3fdb77a

66959226 has 48 divisors (see below), whose sum is σ = 154911744. Its totient is φ = 20829312.

The previous prime is 66959203. The next prime is 66959251. The reversal of 66959226 is 62295966.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38001 + ... + 39723.

It is an arithmetic number, because the mean of its divisors is an integer number (3227328).

Almost surely, 266959226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66959226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77455872).

66959226 is an abundant number, since it is smaller than the sum of its proper divisors (87952518).

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

66959226 is a wasteful number, since it uses less digits than its factorization.

66959226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 1872 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 66959226 is about 8182.8617243602. The cubic root of 66959226 is about 406.0724024985.

It can be divided in two parts, 669 and 59226, that added together give a palindrome (59895).

The spelling of 66959226 in words is "sixty-six million, nine hundred fifty-nine thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 127 153 254 306 381 762 1143 1723 2159 2286 3446 4318 5169 6477 10338 12954 15507 19431 29291 31014 38862 58582 87873 175746 218821 263619 437642 527238 656463 1312926 1969389 3719957 3938778 7439914 11159871 22319742 33479613 66959226