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468999144 = 23326513877
BaseRepresentation
bin11011111101000…
…101101111101000
31012200111121212200
4123331011233220
51430030433034
6114312140200
714423266305
oct3375055750
91180447780
10468999144
11220812aa9
12111097660
137621c6b3
14464060ac
152b292a99
hex1bf45be8

468999144 has 24 divisors (see below), whose sum is σ = 1270206210. Its totient is φ = 156333024.

The previous prime is 468999137. The next prime is 468999149. The reversal of 468999144 is 441999864.

It is a happy number.

468999144 is a `hidden beast` number, since 468 + 99 + 91 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 446815044 + 22184100 = 21138^2 + 4710^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×4689991443 (a number of 27 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (468999149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3256867 + ... + 3257010.

Almost surely, 2468999144 is an apocalyptic number.

It is an amenable number.

468999144 is an abundant number, since it is smaller than the sum of its proper divisors (801207066).

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

468999144 is a wasteful number, since it uses less digits than its factorization.

468999144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6513889 (or 6513882 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 468999144 is about 21656.3880644950. The cubic root of 468999144 is about 776.9457284833.

The spelling of 468999144 in words is "four hundred sixty-eight million, nine hundred ninety-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6513877 13027754 19541631 26055508 39083262 52111016 58624893 78166524 117249786 156333048 234499572 468999144