Search a number
-
+
66458394 = 2342771481
BaseRepresentation
bin1111110110000…
…1001100011010
311122001102210000
43331201030122
5114003132034
610332233430
71434613152
oct375411432
9148042700
1066458394
11345721a2
121a30b876
13109cb7c2
148b7d762
155c7b599
hex3f6131a

66458394 has 40 divisors (see below), whose sum is σ = 149554548. Its totient is φ = 22057920.

The previous prime is 66458387. The next prime is 66458407. The reversal of 66458394 is 49385466.

66458394 is a `hidden beast` number, since 6 + 64 + 583 + 9 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63441225 + 3017169 = 7965^2 + 1737^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44134 + ... + 45614.

Almost surely, 266458394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66458394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74777274).

66458394 is an abundant number, since it is smaller than the sum of its proper divisors (83096154).

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

66458394 is a wasteful number, since it uses less digits than its factorization.

66458394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1763 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 66458394 is about 8152.2017884741. The cubic root of 66458394 is about 405.0574404126.

The spelling of 66458394 in words is "sixty-six million, four hundred fifty-eight thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 277 554 831 1481 1662 2493 2962 4443 4986 7479 8886 13329 14958 22437 26658 39987 44874 79974 119961 239922 410237 820474 1230711 2461422 3692133 7384266 11076399 22152798 33229197 66458394