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471097872 = 243274111399
BaseRepresentation
bin11100000101000…
…110001000010000
31012211110020210100
4130011012020100
51431100112442
6114425132400
714450160120
oct3405061020
91184406710
10471097872
11221a16893
1211192a100
13767a5a4b
14467d0c80
152b55984c
hex1c146210

471097872 has 120 divisors (see below), whose sum is σ = 1543651200. Its totient is φ = 131304960.

The previous prime is 471097853. The next prime is 471097889. The reversal of 471097872 is 278790174.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35629 + ... + 47027.

It is an arithmetic number, because the mean of its divisors is an integer number (12863760).

Almost surely, 2471097872 is an apocalyptic number.

471097872 is a gapful number since it is divisible by the number (42) 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 471097872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771825600).

471097872 is an abundant number, since it is smaller than the sum of its proper divisors (1072553328).

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

471097872 is a wasteful number, since it uses less digits than its factorization.

471097872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11461 (or 11452 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 471097872 is about 21704.7891489413. The cubic root of 471097872 is about 778.1029242878.

It can be divided in two parts, 471097 and 872, that added together give a square (471969 = 6872).

The spelling of 471097872 in words is "four hundred seventy-one million, ninety-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 41 42 48 56 63 72 82 84 112 123 126 144 164 168 246 252 287 328 336 369 492 504 574 656 738 861 984 1008 1148 1476 1722 1968 2296 2583 2952 3444 4592 5166 5904 6888 10332 11399 13776 20664 22798 34197 41328 45596 68394 79793 91192 102591 136788 159586 182384 205182 239379 273576 319172 410364 467359 478758 547152 638344 718137 820728 934718 957516 1276688 1402077 1436274 1641456 1869436 1915032 2804154 2872548 3271513 3738872 3830064 4206231 5608308 5745096 6543026 7477744 8412462 9814539 11216616 11490192 13086052 16824924 19629078 22433232 26172104 29443617 33649848 39258156 52344208 58887234 67299696 78516312 117774468 157032624 235548936 471097872