Search a number
-
+
66044004 = 223131812339
BaseRepresentation
bin1111101111110…
…0000001100100
311121021101100020
43323330001210
5113401402004
610315315140
71431236055
oct373740144
9147241306
1066044004
1134309924
121a14bab0
13108b4cc0
148ab272c
155be88d9
hex3efc064

66044004 has 48 divisors (see below), whose sum is σ = 166944960. Its totient is φ = 20200320.

The previous prime is 66044003. The next prime is 66044009. The reversal of 66044004 is 40044066.

It is not an unprimeable number, because it can be changed into a prime (66044003) 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, 27067 + ... + 29405.

It is an arithmetic number, because the mean of its divisors is an integer number (3478020).

Almost surely, 266044004 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 66044004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83472480).

66044004 is an abundant number, since it is smaller than the sum of its proper divisors (100900956).

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

66044004 is a wasteful number, since it uses less digits than its factorization.

66044004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 66044004 is about 8126.7462123534. The cubic root of 66044004 is about 404.2137956072.

The spelling of 66044004 in words is "sixty-six million, forty-four thousand, four", and thus it is an eban number.

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 181 362 543 724 1086 2172 2339 2353 4678 4706 7017 7059 9356 9412 14034 14118 28068 28236 30407 60814 91221 121628 182442 364884 423359 846718 1270077 1693436 2540154 5080308 5503667 11007334 16511001 22014668 33022002 66044004