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473249304 = 2337112459
BaseRepresentation
bin11100001101010…
…011011000011000
31012222111120000000
4130031103120120
51432122434204
6114543213000
714504360403
oct3415233030
91188446000
10473249304
11223156230
121125a7160
137707a098
1446bd0d3a
152b832039
hex1c353618

473249304 has 128 divisors (see below), whose sum is σ = 1452384000. Its totient is φ = 143350560.

The previous prime is 473249303. The next prime is 473249327. The reversal of 473249304 is 403942374.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473249303) 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 31 ways as a sum of consecutive naturals, for example, 191227 + ... + 193685.

It is an arithmetic number, because the mean of its divisors is an integer number (11346750).

Almost surely, 2473249304 is an apocalyptic number.

473249304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473249304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726192000).

473249304 is an abundant number, since it is smaller than the sum of its proper divisors (979134696).

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

473249304 is a wasteful number, since it uses less digits than its factorization.

473249304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 473249304 is about 21754.2939209711. The cubic root of 473249304 is about 779.2856181051.

The spelling of 473249304 in words is "four hundred seventy-three million, two hundred forty-nine thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 729 792 891 972 1188 1458 1782 1944 2187 2376 2459 2673 2916 3564 4374 4918 5346 5832 7128 7377 8019 8748 9836 10692 14754 16038 17496 19672 21384 22131 24057 27049 29508 32076 44262 48114 54098 59016 64152 66393 81147 88524 96228 108196 132786 162294 177048 192456 199179 216392 243441 265572 324588 398358 486882 531144 597537 649176 730323 796716 973764 1195074 1460646 1593432 1792611 1947528 2190969 2390148 2921292 3585222 4381938 4780296 5377833 5842584 6572907 7170444 8763876 10755666 13145814 14340888 17527752 19718721 21511332 26291628 39437442 43022664 52583256 59156163 78874884 118312326 157749768 236624652 473249304