Search a number
-
+
66797352 = 23331718191
BaseRepresentation
bin1111111011001…
…1111100101000
311122200122202000
43332303330220
5114100003402
610343411000
71440524316
oct376637450
9148618660
1066797352
1134783926
121a453a60
1310ab9b7b
148c2b0b6
155ce6c1c
hex3fb3f28

66797352 has 64 divisors (see below), whose sum is σ = 196473600. Its totient is φ = 20954880.

The previous prime is 66797347. The next prime is 66797363. The reversal of 66797352 is 25379766.

It is a junction number, because it is equal to n+sod(n) for n = 66797298 and 66797307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5424 + ... + 12767.

It is an arithmetic number, because the mean of its divisors is an integer number (3069900).

Almost surely, 266797352 is an apocalyptic number.

It is an amenable number.

66797352 is an abundant number, since it is smaller than the sum of its proper divisors (129676248).

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

66797352 is a wasteful number, since it uses less digits than its factorization.

66797352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18223 (or 18213 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 66797352 is about 8172.9647007680. The cubic root of 66797352 is about 405.7449116319.

The spelling of 66797352 in words is "sixty-six million, seven hundred ninety-seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 18191 36382 54573 72764 109146 145528 163719 218292 309247 327438 436584 491157 618494 654876 927741 982314 1236988 1309752 1855482 1964628 2473976 2783223 3710964 3929256 5566446 7421928 8349669 11132892 16699338 22265784 33398676 66797352