Search a number
-
+
450104144 = 2479194373
BaseRepresentation
bin11010110101000…
…000101101010000
31011100221122210212
4122311000231100
51410211313034
6112355143252
714103551660
oct3265005520
91140848725
10450104144
112110879a6
121068a4b28
1372335219
1443ac81a0
15297ae2ce
hex1ad40b50

450104144 has 40 divisors (see below), whose sum is σ = 997971840. Its totient is φ = 192647808.

The previous prime is 450104141. The next prime is 450104183. The reversal of 450104144 is 441401054.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450104141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100742 + ... + 105114.

It is an arithmetic number, because the mean of its divisors is an integer number (24949296).

Almost surely, 2450104144 is an apocalyptic number.

It is an amenable number.

450104144 is an abundant number, since it is smaller than the sum of its proper divisors (547867696).

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

450104144 is a wasteful number, since it uses less digits than its factorization.

450104144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5307 (or 5301 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 450104144 is about 21215.6579912102. The cubic root of 450104144 is about 766.3685437815.

Adding to 450104144 its reverse (441401054), we get a palindrome (891505198).

The spelling of 450104144 in words is "four hundred fifty million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 919 1838 3676 4373 6433 7352 8746 12866 14704 17492 25732 30611 34984 51464 61222 69968 102928 122444 244888 489776 4018787 8037574 16075148 28131509 32150296 56263018 64300592 112526036 225052072 450104144