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66867752 = 2372433967
BaseRepresentation
bin1111111100010…
…1001000101000
311122211020022102
43333011020220
5114104232002
610345112532
71441236500
oct377051050
9148736272
1066867752
1134821806
121a488748
1310b12c23
148c48a00
155d0ca02
hex3fc5228

66867752 has 48 divisors (see below), whose sum is σ = 149276160. Its totient is φ = 27984096.

The previous prime is 66867743. The next prime is 66867797. The reversal of 66867752 is 25776866.

66867752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 66867697 and 66867706.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14873 + ... + 18839.

It is an arithmetic number, because the mean of its divisors is an integer number (3109920).

Almost surely, 266867752 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 66867752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74638080).

66867752 is an abundant number, since it is smaller than the sum of its proper divisors (82408408).

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

66867752 is a wasteful number, since it uses less digits than its factorization.

66867752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 4019 counting only the distinct ones).

The product of its digits is 846720, while the sum is 47.

The square root of 66867752 is about 8177.2704492392. The cubic root of 66867752 is about 405.8874043694.

The spelling of 66867752 in words is "sixty-six million, eight hundred sixty-seven thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 43 49 56 86 98 172 196 301 344 392 602 1204 2107 2408 3967 4214 7934 8428 15868 16856 27769 31736 55538 111076 170581 194383 222152 341162 388766 682324 777532 1194067 1364648 1555064 2388134 4776268 8358469 9552536 16716938 33433876 66867752