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486648216 = 2333192792
BaseRepresentation
bin11101000000011…
…010100110011000
31020220201021212000
4131000122212120
51444040220331
6120142321000
715026304315
oct3500324630
91226637760
10486648216
1122a77800a
12116b89160
1379a8ba32
14488bbd0c
152cacc0e6
hex1d01a998

486648216 has 144 divisors (see below), whose sum is σ = 1444980600. Its totient is φ = 151733088.

The previous prime is 486648209. The next prime is 486648221. The reversal of 486648216 is 612846684.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×4866482162 = 473652972271965312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6160065 + ... + 6160143.

Almost surely, 2486648216 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 486648216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722490300).

486648216 is an abundant number, since it is smaller than the sum of its proper divisors (958332384).

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

486648216 is a wasteful number, since it uses less digits than its factorization.

486648216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 103 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 486648216 is about 22060.1046235053. The cubic root of 486648216 is about 786.5718116343.

The spelling of 486648216 in words is "four hundred eighty-six million, six hundred forty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 79 108 114 152 158 171 216 228 237 316 342 361 456 474 513 632 684 711 722 948 1026 1083 1368 1422 1444 1501 1896 2052 2133 2166 2844 2888 3002 3249 4104 4266 4332 4503 5688 6004 6241 6498 8532 8664 9006 9747 12008 12482 12996 13509 17064 18012 18723 19494 24964 25992 27018 28519 36024 37446 38988 40527 49928 54036 56169 57038 74892 77976 81054 85557 108072 112338 114076 118579 149784 162108 168507 171114 224676 228152 237158 256671 324216 337014 342228 355737 449352 474316 513342 674028 684456 711474 770013 948632 1026684 1067211 1348056 1422948 1540026 2053368 2134422 2253001 2845896 3080052 3201633 4268844 4506002 6160104 6403266 6759003 8537688 9012004 12806532 13518006 18024008 20277009 25613064 27036012 40554018 54072024 60831027 81108036 121662054 162216072 243324108 486648216