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473481144 = 2332172913339
BaseRepresentation
bin11100001110001…
…011111110111000
31012222221100000200
4130032023332320
51432202344034
6114552202200
714506344333
oct3416137670
91188840020
10473481144
112232a4434
12112699360
137712b776
1446c5161a
152b87aa99
hex1c38bfb8

473481144 has 96 divisors (see below), whose sum is σ = 1404702000. Its totient is φ = 143410176.

The previous prime is 473481143. The next prime is 473481163. The reversal of 473481144 is 441184374.

It is a happy number.

473481144 is a `hidden beast` number, since 473 + 48 + 1 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 473481099 and 473481108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473481143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28827 + ... + 42165.

Almost surely, 2473481144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473481144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702351000).

473481144 is an abundant number, since it is smaller than the sum of its proper divisors (931220856).

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

473481144 is a wasteful number, since it uses less digits than its factorization.

473481144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13397 (or 13390 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 473481144 is about 21759.6218717146. The cubic root of 473481144 is about 779.4128520186.

The spelling of 473481144 in words is "four hundred seventy-three million, four hundred eighty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 29 34 36 51 58 68 72 87 102 116 136 153 174 204 232 261 306 348 408 493 522 612 696 986 1044 1224 1479 1972 2088 2958 3944 4437 5916 8874 11832 13339 17748 26678 35496 40017 53356 80034 106712 120051 160068 226763 240102 320136 386831 453526 480204 680289 773662 907052 960408 1160493 1360578 1547324 1814104 2040867 2320986 2721156 3094648 3481479 4081734 4641972 5442312 6576127 6962958 8163468 9283944 13152254 13925916 16326936 19728381 26304508 27851832 39456762 52609016 59185143 78913524 118370286 157827048 236740572 473481144