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472347216 = 243211227109
BaseRepresentation
bin11100001001110…
…111001001010000
31012220210201120100
4130021313021100
51431410102331
6114512012400
714463612405
oct3411671120
91186721510
10472347216
1122269a500
12112231100
1376b225c3
1446a382ac
152b704ae6
hex1c277250

472347216 has 90 divisors (see below), whose sum is σ = 1453068890. Its totient is φ = 143130240.

The previous prime is 472347203. The next prime is 472347221. The reversal of 472347216 is 612743274.

It can be written as a sum of positive squares in only one way, i.e., 366339600 + 106007616 = 19140^2 + 10296^2 .

It is a super-2 number, since 2×4723472162 = 446223784925901312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3870 + ... + 30978.

Almost surely, 2472347216 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 472347216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726534445).

472347216 is an abundant number, since it is smaller than the sum of its proper divisors (980721674).

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

472347216 is a wasteful number, since it uses less digits than its factorization.

472347216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27145 (or 27125 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 472347216 is about 21733.5504692630. The cubic root of 472347216 is about 778.7901559610.

The spelling of 472347216 in words is "four hundred seventy-two million, three hundred forty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5808 8712 17424 27109 54218 81327 108436 162654 216872 243981 298199 325308 433744 487962 596398 650616 894597 975924 1192796 1301232 1789194 1951848 2385592 2683791 3280189 3578388 3903696 4771184 5367582 6560378 7156776 9840567 10735164 13120756 14313552 19681134 21470328 26241512 29521701 39362268 42940656 52483024 59043402 78724536 118086804 157449072 236173608 472347216