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473407488 = 213326421
BaseRepresentation
bin11100001101111…
…010000000000000
31012222210120222200
4130031322000000
51432143014423
6114550433200
714505616521
oct3415720000
91188716880
10473407488
11223254064
12112662800
1377104098
1446c32848
152b863d43
hex1c37a000

473407488 has 84 divisors (see below), whose sum is σ = 1367751138. Its totient is φ = 157777920.

The previous prime is 473407471. The next prime is 473407507. The reversal of 473407488 is 884704374.

It can be written as a sum of positive squares in only one way, i.e., 437981184 + 35426304 = 20928^2 + 5952^2 .

It is a super-2 number, since 2×4734074882 = 448229299388940288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70518 + ... + 76938.

Almost surely, 2473407488 is an apocalyptic number.

473407488 is a gapful number since it is divisible by the number (48) 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 473407488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683875569).

473407488 is an abundant number, since it is smaller than the sum of its proper divisors (894343650).

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

473407488 is an equidigital number, since it uses as much as digits as its factorization.

473407488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6453 (or 6426 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 473407488 is about 21757.9293132412. The cubic root of 473407488 is about 779.3724340696.

The spelling of 473407488 in words is "four hundred seventy-three million, four hundred seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 6421 8192 9216 12288 12842 18432 19263 24576 25684 36864 38526 51368 57789 73728 77052 102736 115578 154104 205472 231156 308208 410944 462312 616416 821888 924624 1232832 1643776 1849248 2465664 3287552 3698496 4931328 6575104 7396992 9862656 13150208 14793984 19725312 26300416 29587968 39450624 52600832 59175936 78901248 118351872 157802496 236703744 473407488