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473048320 = 2851953367
BaseRepresentation
bin11100001100100…
…010010100000000
31012222010100022011
4130030202110000
51432100021240
6114535022304
714502562423
oct3414422400
91188110264
10473048320
11223029228
1211250a994
1377009764
1446b7b9ba
152b7e26ea
hex1c322500

473048320 has 144 divisors (see below), whose sum is σ = 1218551040. Its totient is φ = 175398912.

The previous prime is 473048299. The next prime is 473048327. The reversal of 473048320 is 23840374.

It is a happy number.

473048320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473048327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1288777 + ... + 1289143.

It is an arithmetic number, because the mean of its divisors is an integer number (8462160).

Almost surely, 2473048320 is an apocalyptic number.

473048320 is a gapful number since it is divisible by the number (40) 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 473048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609275520).

473048320 is an abundant number, since it is smaller than the sum of its proper divisors (745502720).

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

473048320 is a wasteful number, since it uses less digits than its factorization.

473048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 473048320 is about 21749.6740205457. The cubic root of 473048320 is about 779.1752843503.

Adding to 473048320 its reverse (23840374), we get a palindrome (496888694).

The spelling of 473048320 in words is "four hundred seventy-three million, forty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 53 64 76 80 95 106 128 152 160 190 212 256 265 304 320 367 380 424 530 608 640 734 760 848 1007 1060 1216 1280 1468 1520 1696 1835 2014 2120 2432 2936 3040 3392 3670 4028 4240 4864 5035 5872 6080 6784 6973 7340 8056 8480 10070 11744 12160 13568 13946 14680 16112 16960 19451 20140 23488 24320 27892 29360 32224 33920 34865 38902 40280 46976 55784 58720 64448 67840 69730 77804 80560 93952 97255 111568 117440 128896 139460 155608 161120 194510 223136 234880 257792 278920 311216 322240 369569 389020 446272 469760 557840 622432 644480 739138 778040 892544 1115680 1244864 1288960 1478276 1556080 1785088 1847845 2231360 2489728 2956552 3112160 3695690 4462720 4979456 5913104 6224320 7391380 8925440 11826208 12448640 14782760 23652416 24897280 29565520 47304832 59131040 94609664 118262080 236524160 473048320