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472871300 = 225211538111
BaseRepresentation
bin11100001011110…
…111000110000100
31012221210100110212
4130023313012010
51432023340200
6114531134552
714501224346
oct3413670604
91187710425
10472871300
11222a18230
12112444458
1376c77005
1446b33296
152b7aa035
hex1c2f7184

472871300 has 72 divisors (see below), whose sum is σ = 1140676992. Its totient is φ = 168688000.

The previous prime is 472871291. The next prime is 472871363. The reversal of 472871300 is 3178274.

It is a happy number.

It is a plaindrome in base 12.

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, 54245 + ... + 62355.

It is an arithmetic number, because the mean of its divisors is an integer number (15842736).

Almost surely, 2472871300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472871300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570338496).

472871300 is an abundant number, since it is smaller than the sum of its proper divisors (667805692).

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

472871300 is a wasteful number, since it uses less digits than its factorization.

472871300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8189 (or 8182 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 472871300 is about 21745.6041534835. The cubic root of 472871300 is about 779.0780801736.

The spelling of 472871300 in words is "four hundred seventy-two million, eight hundred seventy-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 53 55 100 106 110 212 220 265 275 530 550 583 1060 1100 1166 1325 2332 2650 2915 5300 5830 8111 11660 14575 16222 29150 32444 40555 58300 81110 89221 162220 178442 202775 356884 405550 429883 446105 811100 859766 892210 1719532 1784420 2149415 2230525 4298830 4461050 4728713 8597660 8922100 9457426 10747075 18914852 21494150 23643565 42988300 47287130 94574260 118217825 236435650 472871300