Search a number
-
+
465054064 = 24311039103
BaseRepresentation
bin11011101110000…
…010100101110000
31012102002012020121
4123232002211300
51423023212224
6114051420024
714344615516
oct3356024560
91172065217
10465054064
11219569002
1210b8b4614
137546ab27
1445a9a4b6
152ac63be4
hex1bb82970

465054064 has 40 divisors (see below), whose sum is σ = 939241472. Its totient is φ = 222816960.

The previous prime is 465054041. The next prime is 465054071. The reversal of 465054064 is 460450564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46537 + ... + 55639.

Almost surely, 2465054064 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 465054064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469620736).

465054064 is an abundant number, since it is smaller than the sum of its proper divisors (474187408).

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

465054064 is a wasteful number, since it uses less digits than its factorization.

465054064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9245 (or 9239 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 465054064 is about 21565.1121953956. The cubic root of 465054064 is about 774.7611134698.

The spelling of 465054064 in words is "four hundred sixty-five million, fifty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 31 62 103 124 206 248 412 496 824 1648 3193 6386 9103 12772 18206 25544 36412 51088 72824 145648 282193 564386 937609 1128772 1875218 2257544 3750436 4515088 7500872 15001744 29065879 58131758 116263516 232527032 465054064