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472475328 = 26313214561
BaseRepresentation
bin11100001010010…
…110011011000000
31012221001020022020
4130022112123000
51431423202303
6114514441440
714464655043
oct3412263300
91187036266
10472475328
11222777786
12112293280
1376b68a00
1446a6cc5a
152b72ca53
hex1c2966c0

472475328 has 84 divisors (see below), whose sum is σ = 1353741768. Its totient is φ = 145367040.

The previous prime is 472475293. The next prime is 472475351. The reversal of 472475328 is 823574274.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 472475328.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25168 + ... + 39728.

Almost surely, 2472475328 is an apocalyptic number.

472475328 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 472475328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676870884).

472475328 is an abundant number, since it is smaller than the sum of its proper divisors (881266440).

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

472475328 is a wasteful number, since it uses less digits than its factorization.

472475328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14602 (or 14579 counting only the distinct ones).

The product of its digits is 376320, while the sum is 42.

The square root of 472475328 is about 21736.4976019597. The cubic root of 472475328 is about 778.8605585111.

It can be divided in two parts, 472 and 475328, that added together give a triangular number (475800 = T975).

The spelling of 472475328 in words is "four hundred seventy-two million, four hundred seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 169 192 208 312 338 416 507 624 676 832 1014 1248 1352 2028 2496 2704 4056 5408 8112 10816 14561 16224 29122 32448 43683 58244 87366 116488 174732 189293 232976 349464 378586 465952 567879 698928 757172 931904 1135758 1397856 1514344 2271516 2460809 2795712 3028688 4543032 4921618 6057376 7382427 9086064 9843236 12114752 14764854 18172128 19686472 29529708 36344256 39372944 59059416 78745888 118118832 157491776 236237664 472475328