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473329480 = 2351347107181
BaseRepresentation
bin11100001101100…
…110111101001000
31012222122121222111
4130031212331020
51432133020410
6114545032104
714505143221
oct3415467510
91188577874
10473329480
11223200498
12112625634
13770a7720
1446c12248
152b84ab8a
hex1c366f48

473329480 has 128 divisors (see below), whose sum is σ = 1188794880. Its totient is φ = 168514560.

The previous prime is 473329477. The next prime is 473329499. The reversal of 473329480 is 84923374.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2614990 + ... + 2615170.

It is an arithmetic number, because the mean of its divisors is an integer number (9287460).

Almost surely, 2473329480 is an apocalyptic number.

473329480 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 473329480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594397440).

473329480 is an abundant number, since it is smaller than the sum of its proper divisors (715465400).

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

473329480 is a wasteful number, since it uses less digits than its factorization.

473329480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 473329480 is about 21756.1366055649. The cubic root of 473329480 is about 779.3296234353.

It can be divided in two parts, 4733294 and 80, that added together give a palindrome (4733374).

The spelling of 473329480 in words is "four hundred seventy-three million, three hundred twenty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 47 52 65 94 104 107 130 181 188 214 235 260 362 376 428 470 520 535 611 724 856 905 940 1070 1222 1391 1448 1810 1880 2140 2353 2444 2782 3055 3620 4280 4706 4888 5029 5564 6110 6955 7240 8507 9412 10058 11128 11765 12220 13910 17014 18824 19367 20116 23530 24440 25145 27820 34028 38734 40232 42535 47060 50290 55640 65377 68056 77468 85070 94120 96835 100580 110591 130754 154936 170140 193670 201160 221182 251771 261508 326885 340280 387340 442364 503542 523016 552955 653770 774680 884728 910249 1007084 1105910 1258855 1307540 1820498 2014168 2211820 2517710 2615080 3640996 4423640 4551245 5035420 7281992 9102490 10070840 11833237 18204980 23666474 36409960 47332948 59166185 94665896 118332370 236664740 473329480