Search a number
-
+
66472252 = 227111072017
BaseRepresentation
bin1111110110010…
…0100100111100
311122002010210021
43331210210330
5114004103002
610332421524
71435001440
oct375444474
9148063707
1066472252
1134581650
121a3178a4
1310a04bc2
148b84820
155c80737
hex3f6493c

66472252 has 48 divisors (see below), whose sum is σ = 146458368. Its totient is φ = 25643520.

The previous prime is 66472247. The next prime is 66472253. The reversal of 66472252 is 25227466.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66472253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31948 + ... + 33964.

It is an arithmetic number, because the mean of its divisors is an integer number (3051216).

Almost surely, 266472252 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 66472252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73229184).

66472252 is an abundant number, since it is smaller than the sum of its proper divisors (79986116).

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

66472252 is a wasteful number, since it uses less digits than its factorization.

66472252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2144 counting only the distinct ones).

The product of its digits is 40320, while the sum is 34.

The square root of 66472252 is about 8153.0516985973. The cubic root of 66472252 is about 405.0855928428.

The spelling of 66472252 in words is "sixty-six million, four hundred seventy-two thousand, two hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 107 154 214 308 428 749 1177 1498 2017 2354 2996 4034 4708 8068 8239 14119 16478 22187 28238 32956 44374 56476 88748 155309 215819 310618 431638 621236 863276 1510733 2374009 3021466 4748018 6042932 9496036 16618063 33236126 66472252