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464561316 = 223212904481
BaseRepresentation
bin11011101100001…
…010010010100100
31012101011011022200
4123230022102210
51422411430231
6114033054500
714340464112
oct3354122244
91171134280
10464561316
1121926187a
1210b6b7430
137532776b
14459acab2
152abb7be6
hex1bb0a4a4

464561316 has 18 divisors (see below), whose sum is σ = 1174307862. Its totient is φ = 154853760.

The previous prime is 464561309. The next prime is 464561327. The reversal of 464561316 is 613165464.

It is a happy number.

464561316 is a `hidden beast` number, since 4 + 64 + 561 + 31 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 441000000 + 23561316 = 21000^2 + 4854^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12904481 = 464561316 / (4 + 6 + 4 + 5 + 6 + 1 + 3 + 1 + 6).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6452205 + ... + 6452276.

Almost surely, 2464561316 is an apocalyptic number.

It is an amenable number.

464561316 is an abundant number, since it is smaller than the sum of its proper divisors (709746546).

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

464561316 is a wasteful number, since it uses less digits than its factorization.

464561316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12904491 (or 12904486 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 464561316 is about 21553.6845110065. The cubic root of 464561316 is about 774.4873840764.

The spelling of 464561316 in words is "four hundred sixty-four million, five hundred sixty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 12904481 25808962 38713443 51617924 77426886 116140329 154853772 232280658 464561316