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472016412 = 223272299227
BaseRepresentation
bin11100001000100…
…110011000011100
31012220011220210100
4130020212120130
51431314011122
6114500541100
714461034100
oct3410463034
91186156710
10472016412
11222493a0a
121120b1790
1376a37b6a
144698d900
152b68baac
hex1c22661c

472016412 has 108 divisors (see below), whose sum is σ = 1435969080. Its totient is φ = 130197312.

The previous prime is 472016387. The next prime is 472016417. The reversal of 472016412 is 214610274.

472016412 is a `hidden beast` number, since 47 + 201 + 6 + 412 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472016417) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46543 + ... + 55769.

It is an arithmetic number, because the mean of its divisors is an integer number (13296010).

Almost surely, 2472016412 is an apocalyptic number.

472016412 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 472016412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717984540).

472016412 is an abundant number, since it is smaller than the sum of its proper divisors (963952668).

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

472016412 is a wasteful number, since it uses less digits than its factorization.

472016412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9280 (or 9268 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 472016412 is about 21725.9386908828. The cubic root of 472016412 is about 778.6083073437.

Adding to 472016412 its reverse (214610274), we get a palindrome (686626686).

The spelling of 472016412 in words is "four hundred seventy-two million, sixteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 49 58 63 84 87 98 116 126 147 174 196 203 252 261 294 348 406 441 522 588 609 812 882 1044 1218 1421 1764 1827 2436 2842 3654 4263 5684 7308 8526 9227 12789 17052 18454 25578 27681 36908 51156 55362 64589 83043 110724 129178 166086 193767 258356 267583 332172 387534 452123 535166 581301 775068 802749 904246 1070332 1162602 1356369 1605498 1808492 1873081 2325204 2408247 2712738 3210996 3746162 4069107 4816494 5425476 5619243 7492324 8138214 9632988 11238486 13111567 16276428 16857729 22476972 26223134 33715458 39334701 52446268 67430916 78669402 118004103 157338804 236008206 472016412