Search a number
-
+
5304789144 = 23352728801
BaseRepresentation
bin1001111000011000…
…01010100010011000
3111200200220012200000
410330030022202120
541331011223034
62234220013000
7245312651364
oct47414124230
914620805600
105304789144
112282462666
121040691160
136670454b5
143847602a4
15210aae599
hex13c30a898

5304789144 has 48 divisors (see below), whose sum is σ = 14899258920. Its totient is φ = 1768262400.

The previous prime is 5304789143. The next prime is 5304789187. The reversal of 5304789144 is 4419874035.

5304789144 is a `hidden beast` number, since 5 + 30 + 478 + 9 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5304789144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5304789143) 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 11 ways as a sum of consecutive naturals, for example, 1362457 + ... + 1366344.

Almost surely, 25304789144 is an apocalyptic number.

5304789144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5304789144 is an abundant number, since it is smaller than the sum of its proper divisors (9594469776).

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

5304789144 is a wasteful number, since it uses less digits than its factorization.

5304789144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728822 (or 2728806 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5304789144 is about 72833.9834417973. The cubic root of 5304789144 is about 1744.0383964206.

The spelling of 5304789144 in words is "five billion, three hundred four million, seven hundred eighty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 2728801 5457602 8186403 10915204 16372806 21830408 24559209 32745612 49118418 65491224 73677627 98236836 147355254 196473672 221032881 294710508 442065762 589421016 663098643 884131524 1326197286 1768263048 2652394572 5304789144