Search a number
-
+
464545960 = 23511613649
BaseRepresentation
bin11011101100000…
…110100010101000
31012101010101020221
4123230012202220
51422410432320
6114032455424
714340401254
oct3354064250
91171111227
10464545960
1121925128a
1210b6aa574
1375320788
14459a7264
152abb33aa
hex1bb068a8

464545960 has 16 divisors (see below), whose sum is σ = 1045228500. Its totient is φ = 185818368.

The previous prime is 464545951. The next prime is 464545969. The reversal of 464545960 is 69545464.

It is an interprime number because it is at equal distance from previous prime (464545951) and next prime (464545969).

It can be written as a sum of positive squares in 2 ways, for example, as 464230116 + 315844 = 21546^2 + 562^2 .

It is not an unprimeable number, because it can be changed into a prime (464545969) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5806785 + ... + 5806864.

Almost surely, 2464545960 is an apocalyptic number.

464545960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464545960 is an abundant number, since it is smaller than the sum of its proper divisors (580682540).

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

464545960 is a wasteful number, since it uses less digits than its factorization.

464545960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11613660 (or 11613656 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The square root of 464545960 is about 21553.3282812655. The cubic root of 464545960 is about 774.4788504635.

It can be divided in two parts, 4645 and 45960, that added together give a palindrome (50605).

The spelling of 464545960 in words is "four hundred sixty-four million, five hundred forty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 11613649 23227298 46454596 58068245 92909192 116136490 232272980 464545960